116461277986752 has 196 divisors, whose sum is σ = 348988560731160. Its totient is φ = 38541140209152.

The previous prime is 116461277986709. The next prime is 116461277986769. The reversal of 116461277986752 is 257689772164611.

116461277986752 is a `hidden beast` number, since 1 + 1 + 6 + 461 + 2 + 7 + 7 + 98 + 6 + 75 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2493843 + ... + 15464210.

Almost surely, 2^{116461277986752} is an apocalyptic number.

116461277986752 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 116461277986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174494280365580).

116461277986752 is an abundant number, since it is smaller than the sum of its proper divisors (232527282744408).

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

116461277986752 is an equidigital number, since it uses as much as digits as its factorization.

116461277986752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17958222 (or 17958197 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 116461277986752 in words is "one hundred sixteen trillion, four hundred sixty-one billion, two hundred seventy-seven million, nine hundred eighty-six thousand, seven hundred fifty-two".