1149655732056 has 768 divisors, whose sum is σ = 3963738240000. Its totient is φ = 305003335680.

The previous prime is 1149655732013. The next prime is 1149655732061. The reversal of 1149655732056 is 6502375569411.

1149655732056 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 6 + 557 + 32 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1149655731993 and 1149655732011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 871610965 + ... + 871612283.

It is an arithmetic number, because the mean of its divisors is an integer number (5161117500).

Almost surely, 2^{1149655732056} 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 1149655732056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981869120000).

1149655732056 is an abundant number, since it is smaller than the sum of its proper divisors (2814082507944).

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

1149655732056 is a wasteful number, since it uses less digits than its factorization.

1149655732056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1149655732056 in words is "one trillion, one hundred forty-nine billion, six hundred fifty-five million, seven hundred thirty-two thousand, fifty-six".