457705727507754 has 192 divisors, whose sum is σ = 1098893367936000. Its totient is φ = 137671766290080.

The previous prime is 457705727507719. The next prime is 457705727507759.

457705727507754 is a `hidden beast` number, since 45 + 7 + 7 + 0 + 5 + 7 + 2 + 7 + 507 + 75 + 4 = 666.

457705727507754 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (457705727507759) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1997527437 + ... + 1997756559.

It is an arithmetic number, because the mean of its divisors is an integer number (5723402958000).

Almost surely, 2^{457705727507754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457705727507754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549446683968000).

457705727507754 is an abundant number, since it is smaller than the sum of its proper divisors (641187640428246).

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

457705727507754 is a wasteful number, since it uses less digits than its factorization.

457705727507754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229782 (or 229757 counting only the distinct ones).

The product of its (nonzero) digits is 2352980000, while the sum is 72.

The spelling of 457705727507754 in words is "four hundred fifty-seven trillion, seven hundred five billion, seven hundred twenty-seven million, five hundred seven thousand, seven hundred fifty-four".