46117688400 has 720 divisors, whose sum is σ = 196147695744. Its totient is φ = 9794027520.

The previous prime is 46117688389. The next prime is 46117688437. The reversal of 46117688400 is 488671164.

46117688400 is a `hidden beast` number, since 461 + 1 + 76 + 88 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35556552 + ... + 35557848.

Almost surely, 2^46117688400 is an apocalyptic number.

46117688400 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 46117688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98073847872).

46117688400 is an abundant number, since it is smaller than the sum of its proper divisors (150030007344).

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

46117688400 is a wasteful number, since it uses less digits than its factorization.

46117688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 46117688400 in words is "forty-six billion, one hundred seventeen million, six hundred eighty-eight thousand, four hundred".