46391516864 has 224 divisors, whose sum is σ = 120507678720. Its totient is φ = 17191756800.

The previous prime is 46391516837. The next prime is 46391516887. The reversal of 46391516864 is 46861519364.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 9010739 + ... + 9015885.

Almost surely, 2^46391516864 is an apocalyptic number.

46391516864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46391516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60253839360).

46391516864 is an abundant number, since it is smaller than the sum of its proper divisors (74116161856).

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

46391516864 is a wasteful number, since it uses less digits than its factorization.

46391516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5257 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 53.

The spelling of 46391516864 in words is "forty-six billion, three hundred ninety-one million, five hundred sixteen thousand, eight hundred sixty-four".