1186916360544 has 72 divisors (see below), whose sum is σ = 3375404821152. Its totient is φ = 395625726720.

The previous prime is 1186916360543. The next prime is 1186916360561. The reversal of 1186916360544 is 4450636196811.

1186916360544 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 91 + 6 + 3 + 6 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1186916360544³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186916360543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13068249 + ... + 13158759.

It is an arithmetic number, because the mean of its divisors is an integer number (46880622516).

Almost surely, 2^{1186916360544} is an apocalyptic number.

It is an amenable number.

1186916360544 is an abundant number, since it is smaller than the sum of its proper divisors (2188488460608).

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

1186916360544 is a wasteful number, since it uses less digits than its factorization.

1186916360544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136060 (or 136049 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1186916360544 in words is "one trillion, one hundred eighty-six billion, nine hundred sixteen million, three hundred sixty thousand, five hundred forty-four".