909145086696 has 640 divisors, whose sum is σ = 3233069199360. Its totient is φ = 231836774400.

The previous prime is 909145086649. The next prime is 909145086713. The reversal of 909145086696 is 696680541909.

909145086696 is a `hidden beast` number, since 9 + 0 + 91 + 450 + 8 + 6 + 6 + 96 = 666.

909145086696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1250543085 + ... + 1250543811.

It is an arithmetic number, because the mean of its divisors is an integer number (5051670624).

Almost surely, 2^909145086696 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 909145086696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616534599680).

909145086696 is an abundant number, since it is smaller than the sum of its proper divisors (2323924112664).

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

909145086696 is a wasteful number, since it uses less digits than its factorization.

909145086696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 909145086696 in words is "nine hundred nine billion, one hundred forty-five million, eighty-six thousand, six hundred ninety-six".