1186137583904 has 96 divisors (see below), whose sum is σ = 2880652642560. Its totient is φ = 468171850752.

The previous prime is 1186137583903. The next prime is 1186137583987. The reversal of 1186137583904 is 4093857316811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1186137583904.

It is not an unprimeable number, because it can be changed into a prime (1186137583903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814442 + ... + 1742294.

It is an arithmetic number, because the mean of its divisors is an integer number (30006798360).

Almost surely, 2^{1186137583904} is an apocalyptic number.

1186137583904 is a gapful number since it is divisible by the number (14) 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 1186137583904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440326321280).

1186137583904 is an abundant number, since it is smaller than the sum of its proper divisors (1694515058656).

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

1186137583904 is a wasteful number, since it uses less digits than its factorization.

1186137583904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928322 (or 928314 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 1186137583904 in words is "one trillion, one hundred eighty-six billion, one hundred thirty-seven million, five hundred eighty-three thousand, nine hundred four".