1185978646944 has 576 divisors, whose sum is σ = 4388397350400. Its totient is φ = 308814944256.

The previous prime is 1185978646943. The next prime is 1185978646949. The reversal of 1185978646944 is 4496468795811.

1185978646944 is a `hidden beast` number, since 1 + 1 + 8 + 59 + 78 + 6 + 469 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1185978646943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43465434 + ... + 43492710.

It is an arithmetic number, because the mean of its divisors is an integer number (7618745400).

Almost surely, 2^{1185978646944} is an apocalyptic number.

1185978646944 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 1185978646944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194198675200).

1185978646944 is an abundant number, since it is smaller than the sum of its proper divisors (3202418703456).

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

1185978646944 is a wasteful number, since it uses less digits than its factorization.

1185978646944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27402 (or 27381 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 1185978646944 in words is "one trillion, one hundred eighty-five billion, nine hundred seventy-eight million, six hundred forty-six thousand, nine hundred forty-four".