245778029392896 has 4224 divisors, whose sum is σ = 1047547933286400. Its totient is φ = 53420642795520.

The previous prime is 245778029392879. The next prime is 245778029392943. The reversal of 245778029392896 is 698293920877542.

245778029392896 is a `hidden beast` number, since 2 + 4 + 5 + 77 + 80 + 2 + 9 + 392 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 363039924910 + ... + 363039925586.

Almost surely, 2^{245778029392896} is an apocalyptic number.

245778029392896 is a gapful number since it is divisible by the number (26) 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 245778029392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523773966643200).

245778029392896 is an abundant number, since it is smaller than the sum of its proper divisors (801769903893504).

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

245778029392896 is a wasteful number, since it uses less digits than its factorization.

245778029392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 245778029392896 in words is "two hundred forty-five trillion, seven hundred seventy-eight billion, twenty-nine million, three hundred ninety-two thousand, eight hundred ninety-six".