116117362408320 has 2048 divisors, whose sum is σ = 510834304512000. Its totient is φ = 24274059264000.

The previous prime is 116117362408301. The next prime is 116117362408349. The reversal of 116117362408320 is 23804263711611.

116117362408320 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 17 + 3 + 624 + 0 + 8 + 3 + 2 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 89252391670 + ... + 89252392970.

It is an arithmetic number, because the mean of its divisors is an integer number (249430812750).

Almost surely, 2^{116117362408320} is an apocalyptic number.

116117362408320 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 116117362408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255417152256000).

116117362408320 is an abundant number, since it is smaller than the sum of its proper divisors (394716942103680).

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

116117362408320 is a wasteful number, since it uses less digits than its factorization.

116117362408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 116117362408320 in words is "one hundred sixteen trillion, one hundred seventeen billion, three hundred sixty-two million, four hundred eight thousand, three hundred twenty".