118940647827456 has 1728 divisors, whose sum is σ = 443751866812800. Its totient is φ = 30407137689600.

The previous prime is 118940647827361. The next prime is 118940647827473. The reversal of 118940647827456 is 654728746049811.

118940647827456 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 40 + 64 + 78 + 2 + 7 + 456 = 666.

It is a super-2 number, since 2×118940647827456² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50851066735 + ... + 50851069073.

It is an arithmetic number, because the mean of its divisors is an integer number (256800848850).

Almost surely, 2^{118940647827456} is an apocalyptic number.

118940647827456 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 118940647827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221875933406400).

118940647827456 is an abundant number, since it is smaller than the sum of its proper divisors (324811218985344).

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

118940647827456 is a wasteful number, since it uses less digits than its factorization.

118940647827456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 118940647827456 in words is "one hundred eighteen trillion, nine hundred forty billion, six hundred forty-seven million, eight hundred twenty-seven thousand, four hundred fifty-six".