1008456793344 has 1296 divisors, whose sum is σ = 3977164312576. Its totient is φ = 239117598720.

The previous prime is 1008456793283. The next prime is 1008456793361. The reversal of 1008456793344 is 4433976548001.

1008456793344 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 4 + 567 + 9 + 33 + 44 = 666.

1008456793344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3221906532 + ... + 3221906844.

Almost surely, 2^{1008456793344} is an apocalyptic number.

1008456793344 is a gapful number since it is divisible by the number (14) 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 1008456793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988582156288).

1008456793344 is an abundant number, since it is smaller than the sum of its proper divisors (2968707519232).

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

1008456793344 is a wasteful number, since it uses less digits than its factorization.

1008456793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1008456793344 in words is "one trillion, eight billion, four hundred fifty-six million, seven hundred ninety-three thousand, three hundred forty-four".