116214572123136 has 176 divisors, whose sum is σ = 344208170447680. Its totient is φ = 38734045102080.

The previous prime is 116214572123119. The next prime is 116214572123147. The reversal of 116214572123136 is 631321275412611.

116214572123136 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 1 + 4 + 572 + 12 + 31 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116214572123091 and 116214572123100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263735316 + ... + 264175596.

It is an arithmetic number, because the mean of its divisors is an integer number (1955728241180).

Almost surely, 2^{116214572123136} is an apocalyptic number.

116214572123136 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 116214572123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172104085223840).

116214572123136 is an abundant number, since it is smaller than the sum of its proper divisors (227993598324544).

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

116214572123136 is an equidigital number, since it uses as much as digits as its factorization.

116214572123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449857 (or 449833 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 116214572123136 in words is "one hundred sixteen trillion, two hundred fourteen billion, five hundred seventy-two million, one hundred twenty-three thousand, one hundred thirty-six".