46233540864 has 648 divisors, whose sum is σ = 166759494720. Its totient is φ = 12033515520.

The previous prime is 46233540851. The next prime is 46233540877. The reversal of 46233540864 is 46804533264.

46233540864 is a `hidden beast` number, since 4 + 6 + 23 + 3 + 540 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46233540851) and next prime (46233540877).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294481074 + ... + 294481230.

Almost surely, 2^46233540864 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 46233540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83379747360).

46233540864 is an abundant number, since it is smaller than the sum of its proper divisors (120525953856).

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

46233540864 is a wasteful number, since it uses less digits than its factorization.

46233540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 46233540864 in words is "forty-six billion, two hundred thirty-three million, five hundred forty thousand, eight hundred sixty-four".