118121664 has 56 divisors (see below), whose sum is σ = 313799728. Its totient is φ = 39214080.

The previous prime is 118121657. The next prime is 118121671. The reversal of 118121664 is 466121811.

It is an interprime number because it is at equal distance from previous prime (118121657) and next prime (118121671).

It is a super-2 number, since 2×118121664² = 27905455012257792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52074 + ... + 54294.

Almost surely, 2^118121664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156899864).

118121664 is an abundant number, since it is smaller than the sum of its proper divisors (195678064).

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

118121664 is a wasteful number, since it uses less digits than its factorization.

118121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2503 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 118121664 is about 10868.3790879781. The cubic root of 118121664 is about 490.6553275315.

The spelling of 118121664 in words is "one hundred eighteen million, one hundred twenty-one thousand, six hundred sixty-four".