46447466474464 has 192 divisors, whose sum is σ = 108555536517120. Its totient is φ = 19327279104000.

The previous prime is 46447466474429. The next prime is 46447466474501.

46447466474464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46447466474393 and 46447466474402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139365304 + ... + 139698184.

It is an arithmetic number, because the mean of its divisors is an integer number (565393419360).

Almost surely, 2^{46447466474464} is an apocalyptic number.

46447466474464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46447466474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54277768258560).

46447466474464 is an abundant number, since it is smaller than the sum of its proper divisors (62108070042656).

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

46447466474464 is a wasteful number, since it uses less digits than its factorization.

46447466474464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333625 (or 333617 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 70.

The spelling of 46447466474464 in words is "forty-six trillion, four hundred forty-seven billion, four hundred sixty-six million, four hundred seventy-four thousand, four hundred sixty-four".