46443577534464 has 96 divisors (see below), whose sum is σ = 135075603892320. Its totient is φ = 14073811353600.

The previous prime is 46443577534397. The next prime is 46443577534499.

46443577534464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×46443577534464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46443577534395 and 46443577534404.

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, 343531327 + ... + 343666494.

It is an arithmetic number, because the mean of its divisors is an integer number (1407037540545).

Almost surely, 2^{46443577534464} is an apocalyptic number.

46443577534464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46443577534464 is an abundant number, since it is smaller than the sum of its proper divisors (88632026357856).

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

46443577534464 is a wasteful number, since it uses less digits than its factorization.

46443577534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687197857 (or 687197837 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 66.

The spelling of 46443577534464 in words is "forty-six trillion, four hundred forty-three billion, five hundred seventy-seven million, five hundred thirty-four thousand, four hundred sixty-four".