116896749134400 has 1701 divisors, whose sum is σ = 447107544684697. Its totient is φ = 30079515110400.

The previous prime is 116896749134371. The next prime is 116896749134437. The reversal of 116896749134400 is 4431947698611.

The square root of 116896749134400 is 10811880.

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

116896749134400 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 96 + 7 + 4 + 9 + 134 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42082829688384 + 74813919446016 = 6487128^2 + 8649504^2 .

It is a Duffinian 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 242 ways as a sum of consecutive naturals, for example, 1646433086365 + ... + 1646433086435.

Almost surely, 2^{116896749134400} is an apocalyptic number.

116896749134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116896749134400 is the 10811880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116896749134400

116896749134400 is an abundant number, since it is smaller than the sum of its proper divisors (330210795550297).

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

116896749134400 is an frugal number, since it uses more digits than its factorization.

116896749134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 116896749134400 in words is "one hundred sixteen trillion, eight hundred ninety-six billion, seven hundred forty-nine million, one hundred thirty-four thousand, four hundred".