1154806968960 has 160 divisors (see below), whose sum is σ = 4124024378100. Its totient is φ = 307948511232.

The previous prime is 1154806968949. The next prime is 1154806968961. The reversal of 1154806968960 is 698696084511.

1154806968960 is a `hidden beast` number, since 1 + 1 + 5 + 480 + 6 + 9 + 68 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1154146273344 + 660695616 = 1074312^2 + 25704^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1154806968961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11086345 + ... + 11190024.

Almost surely, 2^{1154806968960} is an apocalyptic number.

1154806968960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1154806968960 is an abundant number, since it is smaller than the sum of its proper divisors (2969217409140).

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

1154806968960 is an equidigital number, since it uses as much as digits as its factorization.

1154806968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22276400 (or 22276379 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 1154806968960 in words is "one trillion, one hundred fifty-four billion, eight hundred six million, nine hundred sixty-eight thousand, nine hundred sixty".