46888934400 has 1056 divisors, whose sum is σ = 214921244160. Its totient is φ = 9732096000.

The previous prime is 46888934377. The next prime is 46888934431. The reversal of 46888934400 is 443988864.

46888934400 is a `hidden beast` number, since 46 + 88 + 89 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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, 53221960 + ... + 53222840.

Almost surely, 2^46888934400 is an apocalyptic number.

46888934400 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 46888934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107460622080).

46888934400 is an abundant number, since it is smaller than the sum of its proper divisors (168032309760).

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

46888934400 is a wasteful number, since it uses less digits than its factorization.

46888934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 46888934400 in words is "forty-six billion, eight hundred eighty-eight million, nine hundred thirty-four thousand, four hundred".