46827252864 has 384 divisors, whose sum is σ = 167351808000. Its totient is φ = 12264929280.

The previous prime is 46827252847. The next prime is 46827252881. The reversal of 46827252864 is 46825272864.

46827252864 is a `hidden beast` number, since 46 + 8 + 2 + 72 + 528 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46827252847) and next prime (46827252881).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×46827252864² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46827252864.

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 47 ways as a sum of consecutive naturals, for example, 4744767 + ... + 4754625.

It is an arithmetic number, because the mean of its divisors is an integer number (435812000).

Almost surely, 2^46827252864 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 46827252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83675904000).

46827252864 is an abundant number, since it is smaller than the sum of its proper divisors (120524555136).

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

46827252864 is a wasteful number, since it uses less digits than its factorization.

46827252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9921 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 46827252864 in words is "forty-six billion, eight hundred twenty-seven million, two hundred fifty-two thousand, eight hundred sixty-four".