1152213321744 has 135 divisors (see below), whose sum is σ = 3349460844093. Its totient is φ = 383955178752.

The previous prime is 1152213321691. The next prime is 1152213321751. The reversal of 1152213321744 is 4471233122511.

The square root of 1152213321744 is 1073412.

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

1152213321744 is a `hidden beast` number, since 1 + 1 + 52 + 213 + 321 + 74 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1064900163600 + 87313158144 = 1031940^2 + 295488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1152213321699 and 1152213321708.

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, 347783832 + ... + 347787144.

Almost surely, 2^{1152213321744} is an apocalyptic number.

1152213321744 is the 1073412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152213321744

1152213321744 is an abundant number, since it is smaller than the sum of its proper divisors (2197247522349).

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

1152213321744 is an frugal number, since it uses more digits than its factorization.

1152213321744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6658 (or 3318 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Multiplying 1152213321744 by its sum of digits (36), we get a square (41479679582784 = 6440472²).

1152213321744 divided by its sum of digits (36) gives a square (32005925604 = 178902²).

The spelling of 1152213321744 in words is "one trillion, one hundred fifty-two billion, two hundred thirteen million, three hundred twenty-one thousand, seven hundred forty-four".