1008801378336 has 24 divisors (see below), whose sum is σ = 2648103618384. Its totient is φ = 336267126080.

The previous prime is 1008801378289. The next prime is 1008801378427. The reversal of 1008801378336 is 6338731088001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1008801378336² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5254173750 + ... + 5254173941.

It is an arithmetic number, because the mean of its divisors is an integer number (110337650766).

Almost surely, 2^{1008801378336} is an apocalyptic number.

1008801378336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1008801378336 is an abundant number, since it is smaller than the sum of its proper divisors (1639302240048).

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

1008801378336 is a wasteful number, since it uses less digits than its factorization.

1008801378336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508347704 (or 10508347696 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1008801378336 in words is "one trillion, eight billion, eight hundred one million, three hundred seventy-eight thousand, three hundred thirty-six".