919108899072 has 1152 divisors, whose sum is σ = 3489100805120. Its totient is φ = 232190115840.

The previous prime is 919108899043. The next prime is 919108899083. The reversal of 919108899072 is 270998801919.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×919108899072² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 1698907122 + ... + 1698907662.

Almost surely, 2^919108899072 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 919108899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744550402560).

919108899072 is an abundant number, since it is smaller than the sum of its proper divisors (2569991906048).

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

919108899072 is a wasteful number, since it uses less digits than its factorization.

919108899072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 63.

The spelling of 919108899072 in words is "nine hundred nineteen billion, one hundred eight million, eight hundred ninety-nine thousand, seventy-two".