909633494016 has 1056 divisors, whose sum is σ = 3108423671808. Its totient is φ = 263722106880.

The previous prime is 909633493987. The next prime is 909633494041. The reversal of 909633494016 is 610494336909.

909633494016 is a `hidden beast` number, since 90 + 9 + 63 + 3 + 494 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4713126816 + ... + 4713127008.

Almost surely, 2^909633494016 is an apocalyptic number.

909633494016 is a gapful number since it is divisible by the number (96) 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 909633494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554211835904).

909633494016 is an abundant number, since it is smaller than the sum of its proper divisors (2198790177792).

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

909633494016 is a wasteful number, since it uses less digits than its factorization.

909633494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 909633494016 in words is "nine hundred nine billion, six hundred thirty-three million, four hundred ninety-four thousand, sixteen".