116421129138816 has 256 divisors, whose sum is σ = 363853928188800. Its totient is φ = 36520471019520.

The previous prime is 116421129138793. The next prime is 116421129138841. The reversal of 116421129138816 is 618831921124611.

It is a happy number.

116421129138816 is a `hidden beast` number, since 1 + 1 + 6 + 421 + 1 + 2 + 9 + 138 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592885771 + ... + 593082101.

Almost surely, 2^{116421129138816} is an apocalyptic number.

116421129138816 is a gapful number since it is divisible by the number (16) 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 116421129138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181926964094400).

116421129138816 is an abundant number, since it is smaller than the sum of its proper divisors (247432799049984).

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

116421129138816 is a wasteful number, since it uses less digits than its factorization.

116421129138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206464 (or 206446 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The spelling of 116421129138816 in words is "one hundred sixteen trillion, four hundred twenty-one billion, one hundred twenty-nine million, one hundred thirty-eight thousand, eight hundred sixteen".