116480214760000 has 945 divisors, whose sum is σ = 364437510706071. Its totient is φ = 36801902592000.

The previous prime is 116480214759967. The next prime is 116480214760027. The reversal of 116480214760000 is 67412084611.

The square root of 116480214760000 is 10792600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 83773894284864 + 32706320475136 = 9152808^2 + 5718944^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 196425319704 + ... + 196425320296.

Almost surely, 2^{116480214760000} is an apocalyptic number.

116480214760000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116480214760000 is the 10792600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116480214760000

116480214760000 is an abundant number, since it is smaller than the sum of its proper divisors (247957295946071).

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

116480214760000 is an frugal number, since it uses more digits than its factorization.

116480214760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 116480214760000 in words is "one hundred sixteen trillion, four hundred eighty billion, two hundred fourteen million, seven hundred sixty thousand".