1144255751496 has 320 divisors, whose sum is σ = 3852864227520. Its totient is φ = 312626926080.

The previous prime is 1144255751447. The next prime is 1144255751503. The reversal of 1144255751496 is 6941575524411.

1144255751496 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 25 + 575 + 1 + 49 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3840966 + ... + 4128138.

It is an arithmetic number, because the mean of its divisors is an integer number (12040200711).

Almost surely, 2^{1144255751496} 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 1144255751496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926432113760).

1144255751496 is an abundant number, since it is smaller than the sum of its proper divisors (2708608476024).

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

1144255751496 is a wasteful number, since it uses less digits than its factorization.

1144255751496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287258 (or 287245 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 1144255751496 in words is "one trillion, one hundred forty-four billion, two hundred fifty-five million, seven hundred fifty-one thousand, four hundred ninety-six".