1188516564 has 120 divisors (see below), whose sum is σ = 3227110656. Its totient is φ = 381024000.

The previous prime is 1188516523. The next prime is 1188516583. The reversal of 1188516564 is 4656158811.

1188516564 is a `hidden beast` number, since 1 + 1 + 8 + 85 + 1 + 6 + 564 = 666.

Its product of digits (230400) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2420359 + ... + 2420849.

Almost surely, 2^1188516564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188516564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613555328).

1188516564 is an abundant number, since it is smaller than the sum of its proper divisors (2038594092).

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

1188516564 is a wasteful number, since it uses less digits than its factorization.

1188516564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 1188516564 is about 34474.8685856814. The cubic root of 1188516564 is about 1059.2579843186.

The spelling of 1188516564 in words is "one billion, one hundred eighty-eight million, five hundred sixteen thousand, five hundred sixty-four".