245722930992000 has 5120 divisors, whose sum is σ = 1171106906112000. Its totient is φ = 49589729280000.

The previous prime is 245722930991981. The next prime is 245722930992073. The reversal of 245722930992000 is 299039227542.

245722930992000 is a `hidden beast` number, since 2 + 45 + 72 + 29 + 309 + 9 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 559733327781 + ... + 559733328219.

It is an arithmetic number, because the mean of its divisors is an integer number (228731817600).

Almost surely, 2^{245722930992000} is an apocalyptic number.

245722930992000 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 245722930992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585553453056000).

245722930992000 is an abundant number, since it is smaller than the sum of its proper divisors (925383975120000).

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

245722930992000 is a wasteful number, since it uses less digits than its factorization.

245722930992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 245722930992000 in words is "two hundred forty-five trillion, seven hundred twenty-two billion, nine hundred thirty million, nine hundred ninety-two thousand".