46456700765464 has 32 divisors (see below), whose sum is σ = 95218603583040. Its totient is φ = 21073674647200.

The previous prime is 46456700765441. The next prime is 46456700765539.

It is a happy number.

46456700765464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46456700765396 and 46456700765405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537550534 + ... + 537636949.

It is an arithmetic number, because the mean of its divisors is an integer number (2975581361970).

Almost surely, 2^{46456700765464} is an apocalyptic number.

46456700765464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46456700765464 is an abundant number, since it is smaller than the sum of its proper divisors (48761902817576).

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

46456700765464 is a wasteful number, since it uses less digits than its factorization.

46456700765464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075187991 (or 1075187987 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 64.

The spelling of 46456700765464 in words is "forty-six trillion, four hundred fifty-six billion, seven hundred million, seven hundred sixty-five thousand, four hundred sixty-four".