46333534464 has 540 divisors, whose sum is σ = 166011783168. Its totient is φ = 12802406400.

The previous prime is 46333534453. The next prime is 46333534469. The reversal of 46333534464 is 46443533364.

46333534464 is a `hidden beast` number, since 4 + 633 + 3 + 5 + 3 + 4 + 4 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (46333534469) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 31497249 + ... + 31498719.

Almost surely, 2^46333534464 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 46333534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83005891584).

46333534464 is an abundant number, since it is smaller than the sum of its proper divisors (119678248704).

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

46333534464 is a wasteful number, since it uses less digits than its factorization.

46333534464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1514 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 45.

The spelling of 46333534464 in words is "forty-six billion, three hundred thirty-three million, five hundred thirty-four thousand, four hundred sixty-four".