46318910400 has 1344 divisors, whose sum is σ = 204960849920. Its totient is φ = 10077696000.

The previous prime is 46318910389. The next prime is 46318910411. The reversal of 46318910400 is 401981364.

46318910400 is a `hidden beast` number, since 4 + 63 + 189 + 10 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (46318910389) and next prime (46318910411).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 759326370 + ... + 759326430.

Almost surely, 2^46318910400 is an apocalyptic number.

46318910400 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 46318910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102480424960).

46318910400 is an abundant number, since it is smaller than the sum of its proper divisors (158641939520).

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

46318910400 is an equidigital number, since it uses as much as digits as its factorization.

46318910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 46318910400 in words is "forty-six billion, three hundred eighteen million, nine hundred ten thousand, four hundred".