116681472000 has 960 divisors, whose sum is σ = 461928186720. Its totient is φ = 29196288000.

The previous prime is 116681471993. The next prime is 116681472013. The reversal of 116681472000 is 274186611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×116681472000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352511835 + ... + 352512165.

Almost surely, 2^116681472000 is an apocalyptic number.

116681472000 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 116681472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230964093360).

116681472000 is an abundant number, since it is smaller than the sum of its proper divisors (345246714720).

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

116681472000 is an equidigital number, since it uses as much as digits as its factorization.

116681472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 116681472000 in words is "one hundred sixteen billion, six hundred eighty-one million, four hundred seventy-two thousand".