245167820771328 has 2496 divisors, whose sum is σ = 916998857162752. Its totient is φ = 61401386188800.

The previous prime is 245167820771327. The next prime is 245167820771411. The reversal of 245167820771328 is 823177028761542.

245167820771328 is a `hidden beast` number, since 2 + 4 + 5 + 167 + 82 + 0 + 7 + 71 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (245167820771327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1623627952053 + ... + 1623627952203.

Almost surely, 2^{245167820771328} is an apocalyptic number.

245167820771328 is a gapful number since it is divisible by the number (28) 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 245167820771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458499428581376).

245167820771328 is an abundant number, since it is smaller than the sum of its proper divisors (671831036391424).

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

245167820771328 is a wasteful number, since it uses less digits than its factorization.

245167820771328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 245167820771328 in words is "two hundred forty-five trillion, one hundred sixty-seven billion, eight hundred twenty million, seven hundred seventy-one thousand, three hundred twenty-eight".