116881934400 has 1701 divisors, whose sum is σ = 545920447527. Its totient is φ = 23630745600.

The previous prime is 116881934381. The next prime is 116881934461. The reversal of 116881934400 is 4439188611.

The square root of 116881934400 is 341880.

It is a perfect power (a square), and thus also a powerful number.

116881934400 is a `hidden beast` number, since 1 + 16 + 8 + 8 + 193 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11095672896 + 105786261504 = 105336^2 + 325248^2 .

It is a super-2 number, since 2×116881934400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3158971182 + ... + 3158971218.

Almost surely, 2^116881934400 is an apocalyptic number.

116881934400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116881934400 is the 341880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116881934400

116881934400 is an abundant number, since it is smaller than the sum of its proper divisors (429038513127).

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

116881934400 is a wasteful number, since it uses less digits than its factorization.

116881934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 116881934400 in words is "one hundred sixteen billion, eight hundred eighty-one million, nine hundred thirty-four thousand, four hundred".