118198434816 has 1056 divisors, whose sum is σ = 457794355200. Its totient is φ = 29561241600.

The previous prime is 118198434749. The next prime is 118198434857. The reversal of 118198434816 is 618434891811.

118198434816 is a `hidden beast` number, since 1 + 1 + 8 + 198 + 434 + 8 + 16 = 666.

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 (54).

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 95 ways as a sum of consecutive naturals, for example, 593961885 + ... + 593962083.

Almost surely, 2^118198434816 is an apocalyptic number.

118198434816 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 118198434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228897177600).

118198434816 is an abundant number, since it is smaller than the sum of its proper divisors (339595920384).

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

118198434816 is a wasteful number, since it uses less digits than its factorization.

118198434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 118198434816 in words is "one hundred eighteen billion, one hundred ninety-eight million, four hundred thirty-four thousand, eight hundred sixteen".