245668272894072 has 1152 divisors, whose sum is σ = 881871427008000. Its totient is φ = 61243420170240.

The previous prime is 245668272894019. The next prime is 245668272894127. The reversal of 245668272894072 is 270498272866542.

245668272894072 is a `hidden beast` number, since 2 + 4 + 5 + 66 + 82 + 7 + 2 + 89 + 407 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16676950947 + ... + 16676965677.

It is an arithmetic number, because the mean of its divisors is an integer number (765513391500).

Almost surely, 2^{245668272894072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245668272894072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440935713504000).

245668272894072 is an abundant number, since it is smaller than the sum of its proper divisors (636203154113928).

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

245668272894072 is a wasteful number, since it uses less digits than its factorization.

245668272894072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15201 (or 15187 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 245668272894072 in words is "two hundred forty-five trillion, six hundred sixty-eight billion, two hundred seventy-two million, eight hundred ninety-four thousand, seventy-two".