1185947136144 has 135 divisors (see below), whose sum is σ = 3346699096377. Its totient is φ = 392044320000.

The previous prime is 1185947136091. The next prime is 1185947136163. The reversal of 1185947136144 is 4416317495811.

The square root of 1185947136144 is 1089012.

It is a perfect power (a square), and thus also a powerful number.

1185947136144 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 9 + 4 + 7 + 13 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 996826521744 + 189120614400 = 998412^2 + 434880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1973289444 + ... + 1973290044.

Almost surely, 2^{1185947136144} is an apocalyptic number.

1185947136144 is the 1089012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1185947136144

1185947136144 is an abundant number, since it is smaller than the sum of its proper divisors (2160751960233).

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

1185947136144 is an frugal number, since it uses more digits than its factorization.

1185947136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 757 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 1185947136144 in words is "one trillion, one hundred eighty-five billion, nine hundred forty-seven million, one hundred thirty-six thousand, one hundred forty-four".