1152318056448 has 768 divisors, whose sum is σ = 3564623462400. Its totient is φ = 328484782080.

The previous prime is 1152318056441. The next prime is 1152318056453. The reversal of 1152318056448 is 8446508132511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1152318056448² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1152318056397 and 1152318056406.

It is not an unprimeable number, because it can be changed into a prime (1152318056441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8411080636 + ... + 8411080772.

It is an arithmetic number, because the mean of its divisors is an integer number (4641436800).

Almost surely, 2^{1152318056448} 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 1152318056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782311731200).

1152318056448 is an abundant number, since it is smaller than the sum of its proper divisors (2412305405952).

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

1152318056448 is a wasteful number, since it uses less digits than its factorization.

1152318056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 1152318056448 in words is "one trillion, one hundred fifty-two billion, three hundred eighteen million, fifty-six thousand, four hundred forty-eight".