116766523892736 has 297 divisors, whose sum is σ = 348483777006339. Its totient is φ = 37656246988800.

The previous prime is 116766523892677. The next prime is 116766523892783. The reversal of 116766523892736 is 637298325667611.

It is a happy number.

The square root of 116766523892736 is 10805856.

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

116766523892736 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 6 + 6 + 523 + 8 + 92 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×116766523892736² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32158225641 + ... + 32158229271.

Almost surely, 2^{116766523892736} is an apocalyptic number.

116766523892736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116766523892736 is the 10805856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116766523892736

116766523892736 is an abundant number, since it is smaller than the sum of its proper divisors (231717253113603).

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

116766523892736 is an frugal number, since it uses more digits than its factorization.

116766523892736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7350 (or 3667 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 116766523892736 in words is "one hundred sixteen trillion, seven hundred sixty-six billion, five hundred twenty-three million, eight hundred ninety-two thousand, seven hundred thirty-six".