46457946444 has 192 divisors, whose sum is σ = 143308928000. Its totient is φ = 11607515136.

The previous prime is 46457946427. The next prime is 46457946481. The reversal of 46457946444 is 44464975464.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 993804 + ... + 1039500.

Almost surely, 2^46457946444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46457946444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71654464000).

46457946444 is an abundant number, since it is smaller than the sum of its proper divisors (96850981556).

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

46457946444 is a wasteful number, since it uses less digits than its factorization.

46457946444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45757 (or 45741 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 57.

The spelling of 46457946444 in words is "forty-six billion, four hundred fifty-seven million, nine hundred forty-six thousand, four hundred forty-four".