457336484633754 has 144 divisors (see below), whose sum is σ = 1122556012914336. Its totient is φ = 134364746514240.

The previous prime is 457336484633719. The next prime is 457336484633797.

457336484633754 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 3 + 6 + 484 + 63 + 37 + 54 = 666.

457336484633754 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×457336484633754² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12779097 + ... + 32832579.

Almost surely, 2^{457336484633754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457336484633754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561278006457168).

457336484633754 is an abundant number, since it is smaller than the sum of its proper divisors (665219528280582).

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

457336484633754 is a wasteful number, since it uses less digits than its factorization.

457336484633754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20053833 (or 20053819 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 72.

The spelling of 457336484633754 in words is "four hundred fifty-seven trillion, three hundred thirty-six billion, four hundred eighty-four million, six hundred thirty-three thousand, seven hundred fifty-four".