1149152256000 has 1344 divisors, whose sum is σ = 4848151726080. Its totient is φ = 256396492800.

The previous prime is 1149152255987. The next prime is 1149152256001. The reversal of 1149152256000 is 6522519411.

1149152256000 is a `hidden beast` number, since 1 + 1 + 4 + 91 + 5 + 2 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149152256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3032063811 + ... + 3032064189.

Almost surely, 2^{1149152256000} is an apocalyptic number.

1149152256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149152256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424075863040).

1149152256000 is an abundant number, since it is smaller than the sum of its proper divisors (3698999470080).

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

1149152256000 is an equidigital number, since it uses as much as digits as its factorization.

1149152256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1149152256000 in words is "one trillion, one hundred forty-nine billion, one hundred fifty-two million, two hundred fifty-six thousand".