116164419840 has 432 divisors, whose sum is σ = 476354755968. Its totient is φ = 26551369728.

The previous prime is 116164419793. The next prime is 116164419851. The reversal of 116164419840 is 48914461611.

116164419840 is a `hidden beast` number, since 1 + 161 + 6 + 441 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 2150604 + ... + 2203956.

Almost surely, 2^116164419840 is an apocalyptic number.

116164419840 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 116164419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238177377984).

116164419840 is an abundant number, since it is smaller than the sum of its proper divisors (360190336128).

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

116164419840 is an frugal number, since it uses more digits than its factorization.

116164419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53396 (or 53370 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 116164419840 in words is "one hundred sixteen billion, one hundred sixty-four million, four hundred nineteen thousand, eight hundred forty".