1008144079008 has 192 divisors, whose sum is σ = 2913608880000. Its totient is φ = 305205288960.

The previous prime is 1008144078983. The next prime is 1008144079013. The reversal of 1008144079008 is 8009704418001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159589066 + ... + 159595382.

It is an arithmetic number, because the mean of its divisors is an integer number (15175046250).

Almost surely, 2^{1008144079008} 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 1008144079008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456804440000).

1008144079008 is an abundant number, since it is smaller than the sum of its proper divisors (1905464800992).

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

1008144079008 is a wasteful number, since it uses less digits than its factorization.

1008144079008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 1008144079008 in words is "one trillion, eight billion, one hundred forty-four million, seventy-nine thousand, eight".