46614744741664 has 48 divisors (see below), whose sum is σ = 100212117183360. Its totient is φ = 21168126984960.

The previous prime is 46614744741647. The next prime is 46614744741737.

46614744741664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46614744741596 and 46614744741605.

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, 63362979 + ... + 64094434.

It is an arithmetic number, because the mean of its divisors is an integer number (2087752441320).

Almost surely, 2^{46614744741664} is an apocalyptic number.

46614744741664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46614744741664 is an abundant number, since it is smaller than the sum of its proper divisors (53597372441696).

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

46614744741664 is a wasteful number, since it uses less digits than its factorization.

46614744741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127458473 (or 127458465 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 64.

The spelling of 46614744741664 in words is "forty-six trillion, six hundred fourteen billion, seven hundred forty-four million, seven hundred forty-one thousand, six hundred sixty-four".