116175605180544 has 768 divisors, whose sum is σ = 427070920872960. Its totient is φ = 30612681216000.

The previous prime is 116175605180533. The next prime is 116175605180567. The reversal of 116175605180544 is 445081506571611.

116175605180544 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 75 + 6 + 0 + 518 + 0 + 54 + 4 = 666.

It is a super-2 number, since 2×116175605180544² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3314455819 + ... + 3314490869.

It is an arithmetic number, because the mean of its divisors is an integer number (556081928220).

Almost surely, 2^{116175605180544} is an apocalyptic number.

116175605180544 is a gapful number since it is divisible by the number (14) 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 116175605180544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213535460436480).

116175605180544 is an abundant number, since it is smaller than the sum of its proper divisors (310895315692416).

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

116175605180544 is a wasteful number, since it uses less digits than its factorization.

116175605180544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36271 (or 36247 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 116175605180544 in words is "one hundred sixteen trillion, one hundred seventy-five billion, six hundred five million, one hundred eighty thousand, five hundred forty-four".