46432829664 has 384 divisors, whose sum is σ = 150612295680. Its totient is φ = 13826598912.

The previous prime is 46432829659. The next prime is 46432829683. The reversal of 46432829664 is 46692823464.

46432829664 is a `hidden beast` number, since 46 + 432 + 82 + 96 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46432829664.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 61337574 + ... + 61338330.

It is an arithmetic number, because the mean of its divisors is an integer number (392219520).

Almost surely, 2^46432829664 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 46432829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75306147840).

46432829664 is an abundant number, since it is smaller than the sum of its proper divisors (104179466016).

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

46432829664 is a wasteful number, since it uses less digits than its factorization.

46432829664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

It can be divided in two parts, 46432 and 829664, that added together give a square (876096 = 936²).

The spelling of 46432829664 in words is "forty-six billion, four hundred thirty-two million, eight hundred twenty-nine thousand, six hundred sixty-four".