457855925915136 has 960 divisors, whose sum is σ = 1478198292468480. Its totient is φ = 125415787069440.

The previous prime is 457855925915071. The next prime is 457855925915177. The reversal of 457855925915136 is 631519529558754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265731819171 + ... + 265731820893.

It is an arithmetic number, because the mean of its divisors is an integer number (1539789887988).

Almost surely, 2^{457855925915136} 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 457855925915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739099146234240).

457855925915136 is an abundant number, since it is smaller than the sum of its proper divisors (1020342366553344).

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

457855925915136 is a wasteful number, since it uses less digits than its factorization.

457855925915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2552 counting only the distinct ones).

The product of its digits is 2041200000, while the sum is 75.

The spelling of 457855925915136 in words is "four hundred fifty-seven trillion, eight hundred fifty-five billion, nine hundred twenty-five million, nine hundred fifteen thousand, one hundred thirty-six".