117562288032 has 864 divisors, whose sum is σ = 429154951680. Its totient is φ = 31509596160.

The previous prime is 117562288031. The next prime is 117562288037. The reversal of 117562288032 is 230882265711.

117562288032 is a `hidden beast` number, since 1 + 1 + 7 + 562 + 2 + 8 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (117562288031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 437034394 + ... + 437034662.

It is an arithmetic number, because the mean of its divisors is an integer number (496707120).

Almost surely, 2^117562288032 is an apocalyptic number.

117562288032 is a gapful number since it is divisible by the number (12) 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 117562288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214577475840).

117562288032 is an abundant number, since it is smaller than the sum of its proper divisors (311592663648).

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

117562288032 is a wasteful number, since it uses less digits than its factorization.

117562288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 117562288032 in words is "one hundred seventeen billion, five hundred sixty-two million, two hundred eighty-eight thousand, thirty-two".