116134416921600 has 6336 divisors, whose sum is σ = 566937224806400. Its totient is φ = 23057768448000.

The previous prime is 116134416921581. The next prime is 116134416921641. The reversal of 116134416921600 is 6129614431611.

It is a happy number.

116134416921600 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 3 + 4 + 4 + 16 + 9 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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 575 ways as a sum of consecutive naturals, for example, 1470055910361 + ... + 1470055910439.

Almost surely, 2^{116134416921600} is an apocalyptic number.

116134416921600 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 116134416921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283468612403200).

116134416921600 is an abundant number, since it is smaller than the sum of its proper divisors (450802807884800).

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

116134416921600 is an equidigital number, since it uses as much as digits as its factorization.

116134416921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 116134416921600 in words is "one hundred sixteen trillion, one hundred thirty-four billion, four hundred sixteen million, nine hundred twenty-one thousand, six hundred".