118133098560 has 336 divisors, whose sum is σ = 409918759536. Its totient is φ = 31225430016.

The previous prime is 118133098541. The next prime is 118133098579. The reversal of 118133098560 is 65890331811.

It is a happy number.

118133098560 is a `hidden beast` number, since 1 + 1 + 81 + 3 + 3 + 0 + 9 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (118133098541) and next prime (118133098579).

It can be written as a sum of positive squares in 8 ways, for example, as 2331730944 + 115801367616 = 48288^2 + 340296^2 .

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

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, 297564282 + ... + 297564678.

Almost surely, 2^118133098560 is an apocalyptic number.

118133098560 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 118133098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204959379768).

118133098560 is an abundant number, since it is smaller than the sum of its proper divisors (291785660976).

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

118133098560 is a wasteful number, since it uses less digits than its factorization.

118133098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 118133098560 in words is "one hundred eighteen billion, one hundred thirty-three million, ninety-eight thousand, five hundred sixty".