456725505527654 has 24 divisors (see below), whose sum is σ = 757237772060280. Its totient is φ = 206442711976160.

The previous prime is 456725505527581. The next prime is 456725505527693.

456725505527654 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×456725505527654² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5271731759 + ... + 5271818394.

It is an arithmetic number, because the mean of its divisors is an integer number (31551573835845).

Almost surely, 2^{456725505527654} is an apocalyptic number.

456725505527654 is a deficient number, since it is larger than the sum of its proper divisors (300512266532626).

456725505527654 is a wasteful number, since it uses less digits than its factorization.

456725505527654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543550356 (or 10543550345 counting only the distinct ones).

The product of its (nonzero) digits is 1764000000, while the sum is 68.

The spelling of 456725505527654 in words is "four hundred fifty-six trillion, seven hundred twenty-five billion, five hundred five million, five hundred twenty-seven thousand, six hundred fifty-four".