1152305053344 has 72 divisors (see below), whose sum is σ = 3279786374592. Its totient is φ = 383759544960.

The previous prime is 1152305053337. The next prime is 1152305053387. The reversal of 1152305053344 is 4433505032511.

1152305053344 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 30 + 50 + 533 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1152305053299 and 1152305053308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457992 + ... + 2104839.

It is an arithmetic number, because the mean of its divisors is an integer number (45552588536).

Almost surely, 2^{1152305053344} is an apocalyptic number.

It is an amenable number.

1152305053344 is an abundant number, since it is smaller than the sum of its proper divisors (2127481321248).

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

1152305053344 is a wasteful number, since it uses less digits than its factorization.

1152305053344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563970 (or 3563959 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1152305053344 in words is "one trillion, one hundred fifty-two billion, three hundred five million, fifty-three thousand, three hundred forty-four".