116826704652672 has 3072 divisors, whose sum is σ = 457241834649600. Its totient is φ = 28894769971200.

The previous prime is 116826704652667. The next prime is 116826704652703. The reversal of 116826704652672 is 276256407628611.

116826704652672 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 2 + 67 + 0 + 46 + 526 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 484758110472 + ... + 484758110712.

It is an arithmetic number, because the mean of its divisors is an integer number (148841743050).

Almost surely, 2^{116826704652672} is an apocalyptic number.

116826704652672 is a gapful number since it is divisible by the number (12) 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 116826704652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228620917324800).

116826704652672 is an abundant number, since it is smaller than the sum of its proper divisors (340415129996928).

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

116826704652672 is a wasteful number, since it uses less digits than its factorization.

116826704652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 116826704652672 in words is "one hundred sixteen trillion, eight hundred twenty-six billion, seven hundred four million, six hundred fifty-two thousand, six hundred seventy-two".