1044375162768 has 840 divisors, whose sum is σ = 3817916923392. Its totient is φ = 274744866816.

The previous prime is 1044375162739. The next prime is 1044375162823. The reversal of 1044375162768 is 8672615734401.

1044375162768 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 7 + 5 + 1 + 627 + 6 + 8 = 666.

1044375162768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 167 ways as a sum of consecutive naturals, for example, 456656121 + ... + 456658407.

Almost surely, 2^{1044375162768} is an apocalyptic number.

1044375162768 is a gapful number since it is divisible by the number (18) 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 1044375162768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908958461696).

1044375162768 is an abundant number, since it is smaller than the sum of its proper divisors (2773541760624).

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

1044375162768 is a wasteful number, since it uses less digits than its factorization.

1044375162768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1044375162768 in words is "one trillion, forty-four billion, three hundred seventy-five million, one hundred sixty-two thousand, seven hundred sixty-eight".