90344417904 has 240 divisors, whose sum is σ = 283422213984. Its totient is φ = 27695001600.

The previous prime is 90344417893. The next prime is 90344417909. The reversal of 90344417904 is 40971444309.

90344417904 is a `hidden beast` number, since 90 + 34 + 441 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×90344417904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90344417904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90344417909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14199684 + ... + 14206044.

Almost surely, 2^90344417904 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 90344417904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141711106992).

90344417904 is an abundant number, since it is smaller than the sum of its proper divisors (193077796080).

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

90344417904 is a wasteful number, since it uses less digits than its factorization.

90344417904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 90344417904 in words is "ninety billion, three hundred forty-four million, four hundred seventeen thousand, nine hundred four".