245358323372160 has 640 divisors, whose sum is σ = 881792867395440. Its totient is φ = 65013272248320.

The previous prime is 245358323372131. The next prime is 245358323372177. The reversal of 245358323372160 is 61273323853542.

245358323372160 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 583 + 2 + 3 + 37 + 21 + 6 + 0 = 666.

245358323372160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 79815927168576 + 165542396203584 = 8933976^2 + 12866328^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×245358323372160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 245358323372097 and 245358323372106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11982131842 + ... + 11982152318.

Almost surely, 2^{245358323372160} is an apocalyptic number.

245358323372160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245358323372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440896433697720).

245358323372160 is an abundant number, since it is smaller than the sum of its proper divisors (636434544023280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245358323372160 is a wasteful number, since it uses less digits than its factorization.

245358323372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21966 (or 21945 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 245358323372160 in words is "two hundred forty-five trillion, three hundred fifty-eight billion, three hundred twenty-three million, three hundred seventy-two thousand, one hundred sixty".