1008109294920 has 2304 divisors, whose sum is σ = 4636406174400. Its totient is φ = 187280916480.

The previous prime is 1008109294919. The next prime is 1008109294991. The reversal of 1008109294920 is 294929018001.

It can be written as a sum of positive squares in 32 ways, for example, as 63313630884 + 944795664036 = 251622^2 + 972006^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4183026000 + ... + 4183026240.

Almost surely, 2^{1008109294920} is an apocalyptic number.

1008109294920 is a gapful number since it is divisible by the number (10) 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 1008109294920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318203087200).

1008109294920 is an abundant number, since it is smaller than the sum of its proper divisors (3628296879480).

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

1008109294920 is a wasteful number, since it uses less digits than its factorization.

1008109294920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1008109294920 in words is "one trillion, eight billion, one hundred nine million, two hundred ninety-four thousand, nine hundred twenty".