46412335872 has 648 divisors, whose sum is σ = 164376942912. Its totient is φ = 12541132800.

The previous prime is 46412335793. The next prime is 46412335889. The reversal of 46412335872 is 27853321464.

46412335872 is a `hidden beast` number, since 4 + 6 + 41 + 23 + 3 + 587 + 2 = 666.

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 71 ways as a sum of consecutive naturals, for example, 171263097 + ... + 171263367.

Almost surely, 2^46412335872 is an apocalyptic number.

46412335872 is a gapful number since it is divisible by the number (42) 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 46412335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188471456).

46412335872 is an abundant number, since it is smaller than the sum of its proper divisors (117964607040).

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

46412335872 is a wasteful number, since it uses less digits than its factorization.

46412335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 46412335872 in words is "forty-six billion, four hundred twelve million, three hundred thirty-five thousand, eight hundred seventy-two".