46441614464 has 64 divisors (see below), whose sum is σ = 108316656000. Its totient is φ = 19418081280.

The previous prime is 46441614451. The next prime is 46441614491.

46441614464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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, 595364 + ... + 668835.

It is an arithmetic number, because the mean of its divisors is an integer number (1692447750).

Almost surely, 2^46441614464 is an apocalyptic number.

It is an amenable number.

46441614464 is an abundant number, since it is smaller than the sum of its proper divisors (61875041536).

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

46441614464 is a wasteful number, since it uses less digits than its factorization.

46441614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264261 (or 1264249 counting only the distinct ones).

The product of its digits is 884736, while the sum is 44.

The spelling of 46441614464 in words is "forty-six billion, four hundred forty-one million, six hundred fourteen thousand, four hundred sixty-four".