1008919430976 has 112 divisors (see below), whose sum is σ = 2777242664960. Its totient is φ = 322894978560.

The previous prime is 1008919430971. The next prime is 1008919430999. The reversal of 1008919430976 is 6790349198001.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008919430971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88545 + ... + 1423263.

Almost surely, 2^{1008919430976} is an apocalyptic number.

1008919430976 is a gapful number since it is divisible by the number (16) 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 1008919430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388621332480).

1008919430976 is an abundant number, since it is smaller than the sum of its proper divisors (1768323233984).

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

1008919430976 is a wasteful number, since it uses less digits than its factorization.

1008919430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334892 (or 1334882 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 1008919430976 in words is "one trillion, eight billion, nine hundred nineteen million, four hundred thirty thousand, nine hundred seventy-six".