116737004160000 has 3300 divisors, whose sum is σ = 514143557296512. Its totient is φ = 25453080576000.

The previous prime is 116737004159953. The next prime is 116737004160031. The reversal of 116737004160000 is 61400737611.

116737004160000 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 3 + 7 + 0 + 0 + 41 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 318084479817 + ... + 318084480183.

Almost surely, 2^{116737004160000} is an apocalyptic number.

116737004160000 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 116737004160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257071778648256).

116737004160000 is an abundant number, since it is smaller than the sum of its proper divisors (397406553136512).

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

116737004160000 is an frugal number, since it uses more digits than its factorization.

116737004160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 116737004160000 its reverse (61400737611), we get a palindrome (116798404897611).

The spelling of 116737004160000 in words is "one hundred sixteen trillion, seven hundred thirty-seven billion, four million, one hundred sixty thousand".