46846329264 has 180 divisors, whose sum is σ = 158158642824. Its totient is φ = 13384611072.

The previous prime is 46846329253. The next prime is 46846329289. The reversal of 46846329264 is 46292364864.

46846329264 is a `hidden beast` number, since 468 + 4 + 6 + 32 + 92 + 64 = 666.

It is a super-2 number, since 2×46846329264² (a number of 22 digits) contains 22 as substring.

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 46846329264.

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 35 ways as a sum of consecutive naturals, for example, 67564 + ... + 313460.

Almost surely, 2^46846329264 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 46846329264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79079321412).

46846329264 is an abundant number, since it is smaller than the sum of its proper divisors (111312313560).

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

46846329264 is a wasteful number, since it uses less digits than its factorization.

46846329264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245934 (or 245909 counting only the distinct ones).

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

The spelling of 46846329264 in words is "forty-six billion, eight hundred forty-six million, three hundred twenty-nine thousand, two hundred sixty-four".