1152891817984 has 117 divisors (see below), whose sum is σ = 2435989581783. Its totient is φ = 545488183296.

The previous prime is 1152891817963. The next prime is 1152891817993. The reversal of 1152891817984 is 4897181982511.

The square root of 1152891817984 is 1073728.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1305652807 + ... + 1305653689.

Almost surely, 2^{1152891817984} is an apocalyptic number.

1152891817984 is the 1073728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152891817984

1152891817984 is an abundant number, since it is smaller than the sum of its proper divisors (1283097763799).

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

1152891817984 is an frugal number, since it uses more digits than its factorization.

1152891817984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 904 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 64.

Multiplying 1152891817984 by its sum of digits (64), we get a square (73785076350976 = 8589824²).

1152891817984 divided by its sum of digits (64) gives a square (18013934656 = 134216²).

The spelling of 1152891817984 in words is "one trillion, one hundred fifty-two billion, eight hundred ninety-one million, eight hundred seventeen thousand, nine hundred eighty-four".