118661114880 has 1056 divisors, whose sum is σ = 523111799808. Its totient is φ = 24153292800.

The previous prime is 118661114879. The next prime is 118661114881. The reversal of 118661114880 is 88411166811.

118661114880 is a `hidden beast` number, since 1 + 18 + 6 + 611 + 14 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (118661114879) and next prime (118661114881).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (118661114881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188052165 + ... + 188052795.

Almost surely, 2^118661114880 is an apocalyptic number.

118661114880 is a gapful number since it is divisible by the number (10) 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 118661114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261555899904).

118661114880 is an abundant number, since it is smaller than the sum of its proper divisors (404450684928).

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

118661114880 is a wasteful number, since it uses less digits than its factorization.

118661114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 118661114880 in words is "one hundred eighteen billion, six hundred sixty-one million, one hundred fourteen thousand, eight hundred eighty".