245029656801600 has 4032 divisors, whose sum is σ = 1109047230720000. Its totient is φ = 50551912857600.

The previous prime is 245029656801583. The next prime is 245029656801607. The reversal of 245029656801600 is 6108656920542.

245029656801600 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 29 + 6 + 5 + 6 + 8 + 0 + 1 + 600 = 666.

245029656801600 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 2×245029656801600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245029656801607) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74273916751 + ... + 74273920049.

Almost surely, 2^{245029656801600} is an apocalyptic number.

245029656801600 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 245029656801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554523615360000).

245029656801600 is an abundant number, since it is smaller than the sum of its proper divisors (864017573918400).

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

245029656801600 is a wasteful number, since it uses less digits than its factorization.

245029656801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 245029656801600 in words is "two hundred forty-five trillion, twenty-nine billion, six hundred fifty-six million, eight hundred one thousand, six hundred".