46338934118400 has 4320 divisors, whose sum is σ = 222569187160320. Its totient is φ = 9256550400000.

The previous prime is 46338934118387. The next prime is 46338934118413. The reversal of 46338934118400 is 481143983364.

46338934118400 is a `hidden beast` number, since 4 + 6 + 3 + 38 + 93 + 4 + 118 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (46338934118387) and next prime (46338934118413).

It is a tau number, because it is divible by the number of its divisors (4320).

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 359 ways as a sum of consecutive naturals, for example, 306880358325 + ... + 306880358475.

It is an arithmetic number, because the mean of its divisors is an integer number (51520645176).

Almost surely, 2^{46338934118400} is an apocalyptic number.

46338934118400 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 46338934118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111284593580160).

46338934118400 is an abundant number, since it is smaller than the sum of its proper divisors (176230253041920).

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

46338934118400 is a wasteful number, since it uses less digits than its factorization.

46338934118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46338934118400 in words is "forty-six trillion, three hundred thirty-eight billion, nine hundred thirty-four million, one hundred eighteen thousand, four hundred".