116681097600 has 1152 divisors, whose sum is σ = 467227238400. Its totient is φ = 27590492160.

The previous prime is 116681097583. The next prime is 116681097613. The reversal of 116681097600 is 6790186611.

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

It is a super-2 number, since 2×116681097600² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 918748737 + ... + 918748863.

It is an arithmetic number, because the mean of its divisors is an integer number (405579200).

Almost surely, 2^116681097600 is an apocalyptic number.

116681097600 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 116681097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233613619200).

116681097600 is an abundant number, since it is smaller than the sum of its proper divisors (350546140800).

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

116681097600 is a wasteful number, since it uses less digits than its factorization.

116681097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 116681097600 in words is "one hundred sixteen billion, six hundred eighty-one million, ninety-seven thousand, six hundred".