46664514400 has 144 divisors (see below), whose sum is σ = 130716633600. Its totient is φ = 15935040000.

The previous prime is 46664514397. The next prime is 46664514401. The reversal of 46664514400 is 441546664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46664514401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389001 + ... + 1422199.

It is an arithmetic number, because the mean of its divisors is an integer number (907754400).

Almost surely, 2^46664514400 is an apocalyptic number.

46664514400 is a gapful number since it is divisible by the number (40) 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 46664514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65358316800).

46664514400 is an abundant number, since it is smaller than the sum of its proper divisors (84052119200).

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

46664514400 is a wasteful number, since it uses less digits than its factorization.

46664514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33477 (or 33464 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 46664514400 in words is "forty-six billion, six hundred sixty-four million, five hundred fourteen thousand, four hundred".