1152264501344 has 384 divisors, whose sum is σ = 2673518690304. Its totient is φ = 483994368000.

The previous prime is 1152264501263. The next prime is 1152264501371. The reversal of 1152264501344 is 4431054622511.

It is a junction number, because it is equal to n+sod(n) for n = 1152264501298 and 1152264501307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5076054959 + ... + 5076055185.

It is an arithmetic number, because the mean of its divisors is an integer number (6962288256).

Almost surely, 2^{1152264501344} 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 1152264501344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336759345152).

1152264501344 is an abundant number, since it is smaller than the sum of its proper divisors (1521254188960).

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

1152264501344 is a wasteful number, since it uses less digits than its factorization.

1152264501344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 1152264501344 in words is "one trillion, one hundred fifty-two billion, two hundred sixty-four million, five hundred one thousand, three hundred forty-four".