116212272669216 has 384 divisors, whose sum is σ = 342860265296640. Its totient is φ = 38293739864064.

The previous prime is 116212272669149. The next prime is 116212272669223. The reversal of 116212272669216 is 612966272212611.

116212272669216 is a `hidden beast` number, since 1 + 1 + 6 + 212 + 272 + 66 + 92 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58310221116 + ... + 58310223108.

It is an arithmetic number, because the mean of its divisors is an integer number (892865274210).

Almost surely, 2^{116212272669216} is an apocalyptic number.

116212272669216 is a gapful number since it is divisible by the number (16) 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 116212272669216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171430132648320).

116212272669216 is an abundant number, since it is smaller than the sum of its proper divisors (226647992627424).

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

116212272669216 is a wasteful number, since it uses less digits than its factorization.

116212272669216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4171 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 116212272669216 in words is "one hundred sixteen trillion, two hundred twelve billion, two hundred seventy-two million, six hundred sixty-nine thousand, two hundred sixteen".