118397784913920 has 1920 divisors, whose sum is σ = 446130061977600. Its totient is φ = 29998389657600.

The previous prime is 118397784913879. The next prime is 118397784913937. The reversal of 118397784913920 is 29319487793811.

118397784913920 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 9 + 77 + 84 + 91 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×118397784913920³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 561126942615 + ... + 561126942825.

It is an arithmetic number, because the mean of its divisors is an integer number (232359407280).

Almost surely, 2^{118397784913920} is an apocalyptic number.

118397784913920 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 118397784913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223065030988800).

118397784913920 is an abundant number, since it is smaller than the sum of its proper divisors (327732277063680).

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

118397784913920 is a wasteful number, since it uses less digits than its factorization.

118397784913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 118397784913920 in words is "one hundred eighteen trillion, three hundred ninety-seven billion, seven hundred eighty-four million, nine hundred thirteen thousand, nine hundred twenty".