46616102400 has 480 divisors, whose sum is σ = 178940475648. Its totient is φ = 10476748800.

The previous prime is 46616102399. The next prime is 46616102411. The reversal of 46616102400 is 420161664.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×46616102400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16395379 + ... + 16398221.

Almost surely, 2^46616102400 is an apocalyptic number.

46616102400 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 46616102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89470237824).

46616102400 is an abundant number, since it is smaller than the sum of its proper divisors (132324373248).

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

46616102400 is a wasteful number, since it uses less digits than its factorization.

46616102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 46616102400 in words is "forty-six billion, six hundred sixteen million, one hundred two thousand, four hundred".