118345190400 has 528 divisors, whose sum is σ = 438249271680. Its totient is φ = 31293849600.

The previous prime is 118345190339. The next prime is 118345190417. The reversal of 118345190400 is 4091543811.

118345190400 is a `hidden beast` number, since 1 + 1 + 83 + 451 + 90 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90546547 + ... + 90547853.

It is an arithmetic number, because the mean of its divisors is an integer number (830017560).

Almost surely, 2^118345190400 is an apocalyptic number.

118345190400 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 118345190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219124635840).

118345190400 is an abundant number, since it is smaller than the sum of its proper divisors (319904081280).

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

118345190400 is a wasteful number, since it uses less digits than its factorization.

118345190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 118345190400 in words is "one hundred eighteen billion, three hundred forty-five million, one hundred ninety thousand, four hundred".