245160073033920 has 784 divisors, whose sum is σ = 970505635047840. Its totient is φ = 58458400358400.

The previous prime is 245160073033919. The next prime is 245160073033937. The reversal of 245160073033920 is 29330370061542.

245160073033920 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 600 + 7 + 3 + 0 + 3 + 39 + 2 + 0 = 666.

245160073033920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245160073033920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 155747776 + ... + 157313984.

Almost surely, 2^{245160073033920} is an apocalyptic number.

245160073033920 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 245160073033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485252817523920).

245160073033920 is an abundant number, since it is smaller than the sum of its proper divisors (725345562013920).

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

245160073033920 is a wasteful number, since it uses less digits than its factorization.

245160073033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566316 (or 1566291 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 245160073033920 in words is "two hundred forty-five trillion, one hundred sixty billion, seventy-three million, thirty-three thousand, nine hundred twenty".