46947055464 has 256 divisors, whose sum is σ = 142184448000. Its totient is φ = 14298197760.

The previous prime is 46947055451. The next prime is 46947055471. The reversal of 46947055464 is 46455074964.

46947055464 is a `hidden beast` number, since 4 + 6 + 94 + 7 + 0 + 5 + 546 + 4 = 666.

It is a super-4 number, since 4×46947055464⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46947055464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58904314 + ... + 58905110.

It is an arithmetic number, because the mean of its divisors is an integer number (555408000).

Almost surely, 2^46947055464 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 46947055464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71092224000).

46947055464 is an abundant number, since it is smaller than the sum of its proper divisors (95237392536).

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

46947055464 is a wasteful number, since it uses less digits than its factorization.

46947055464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 46947055464 in words is "forty-six billion, nine hundred forty-seven million, fifty-five thousand, four hundred sixty-four".