1144118260896 has 384 divisors, whose sum is σ = 3381206976000. Its totient is φ = 336329097216.

The previous prime is 1144118260877. The next prime is 1144118260927. The reversal of 1144118260896 is 6980628114411.

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, 2247776290 + ... + 2247776798.

It is an arithmetic number, because the mean of its divisors is an integer number (8805226500).

Almost surely, 2^{1144118260896} is an apocalyptic number.

1144118260896 is a gapful number since it is divisible by the number (16) 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 1144118260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690603488000).

1144118260896 is an abundant number, since it is smaller than the sum of its proper divisors (2237088715104).

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

1144118260896 is a wasteful number, since it uses less digits than its factorization.

1144118260896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 1144118260896 in words is "one trillion, one hundred forty-four billion, one hundred eighteen million, two hundred sixty thousand, eight hundred ninety-six".