46351678464 has 1056 divisors, whose sum is σ = 180256527360. Its totient is φ = 11561730048.

The previous prime is 46351678459. The next prime is 46351678481. The reversal of 46351678464 is 46487615364.

46351678464 is a `hidden beast` number, since 4 + 63 + 51 + 6 + 78 + 464 = 666.

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 46351678464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520805332 + ... + 520805420.

Almost surely, 2^46351678464 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 46351678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90128263680).

46351678464 is an abundant number, since it is smaller than the sum of its proper divisors (133904848896).

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

46351678464 is a wasteful number, since it uses less digits than its factorization.

46351678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 46351678464 in words is "forty-six billion, three hundred fifty-one million, six hundred seventy-eight thousand, four hundred sixty-four".