1151182944 has 144 divisors (see below), whose sum is σ = 3490905600. Its totient is φ = 358795008.

The previous prime is 1151182919. The next prime is 1151182973. The reversal of 1151182944 is 4492811511.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1151182899 and 1151182908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430957 + ... + 433619.

It is an arithmetic number, because the mean of its divisors is an integer number (24242400).

Almost surely, 2^1151182944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151182944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745452800).

1151182944 is an abundant number, since it is smaller than the sum of its proper divisors (2339722656).

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

1151182944 is a wasteful number, since it uses less digits than its factorization.

1151182944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2766 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1151182944 is about 33929.0869903686. The cubic root of 1151182944 is about 1048.0486642903.

The spelling of 1151182944 in words is "one billion, one hundred fifty-one million, one hundred eighty-two thousand, nine hundred forty-four".