116697381436800 has 1152 divisors, whose sum is σ = 440515415208960. Its totient is φ = 30494524170240.

The previous prime is 116697381436793. The next prime is 116697381436847. The reversal of 116697381436800 is 8634183796611.

116697381436800 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 97 + 38 + 1 + 436 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 52876021297 + ... + 52876023503.

It is an arithmetic number, because the mean of its divisors is an integer number (382391853480).

Almost surely, 2^{116697381436800} is an apocalyptic number.

116697381436800 is a gapful number since it is divisible by the number (10) 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 116697381436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220257707604480).

116697381436800 is an abundant number, since it is smaller than the sum of its proper divisors (323818033772160).

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

116697381436800 is a wasteful number, since it uses less digits than its factorization.

116697381436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3553 counting only the distinct ones).

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

The spelling of 116697381436800 in words is "one hundred sixteen trillion, six hundred ninety-seven billion, three hundred eighty-one million, four hundred thirty-six thousand, eight hundred".