116663133600 has 1296 divisors, whose sum is σ = 477702362592. Its totient is φ = 27754721280.

The previous prime is 116663133593. The next prime is 116663133637. The reversal of 116663133600 is 6331366611.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×116663133600² (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 an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1741240767 + ... + 1741240833.

It is an arithmetic number, because the mean of its divisors is an integer number (368597502).

Almost surely, 2^116663133600 is an apocalyptic number.

116663133600 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 116663133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238851181296).

116663133600 is an abundant number, since it is smaller than the sum of its proper divisors (361039228992).

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

116663133600 is a wasteful number, since it uses less digits than its factorization.

116663133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 116663133600 in words is "one hundred sixteen billion, six hundred sixty-three million, one hundred thirty-three thousand, six hundred".