116284414821120 has 6480 divisors, whose sum is σ = 575076545987328. Its totient is φ = 22259674644480.

The previous prime is 116284414821119. The next prime is 116284414821149. The reversal of 116284414821120 is 21128414482611.

116284414821120 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 4 + 41 + 482 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 452468540032 + ... + 452468540288.

Almost surely, 2^{116284414821120} is an apocalyptic number.

116284414821120 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 116284414821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287538272993664).

116284414821120 is an abundant number, since it is smaller than the sum of its proper divisors (458792131166208).

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

116284414821120 is a wasteful number, since it uses less digits than its factorization.

116284414821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 116284414821120 in words is "one hundred sixteen trillion, two hundred eighty-four billion, four hundred fourteen million, eight hundred twenty-one thousand, one hundred twenty".