117855648 has 120 divisors (see below), whose sum is σ = 355384260. Its totient is φ = 38292480.

The previous prime is 117855641. The next prime is 117855667. The reversal of 117855648 is 846558711.

117855648 is a `hidden beast` number, since 1 + 1 + 7 + 85 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79067664 + 38787984 = 8892^2 + 6228^2 .

It is not an unprimeable number, because it can be changed into a prime (117855641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105718 + ... + 106826.

Almost surely, 2^117855648 is an apocalyptic number.

117855648 is a gapful number since it is divisible by the number (18) 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 117855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177692130).

117855648 is an abundant number, since it is smaller than the sum of its proper divisors (237528612).

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

117855648 is a wasteful number, since it uses less digits than its factorization.

117855648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1155 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 117855648 is about 10856.1341185525. The cubic root of 117855648 is about 490.2867237637.

The spelling of 117855648 in words is "one hundred seventeen million, eight hundred fifty-five thousand, six hundred forty-eight".