90447295895424 has 1536 divisors, whose sum is σ = 328784182272000. Its totient is φ = 23562280304640.

The previous prime is 90447295895417. The next prime is 90447295895471. The reversal of 90447295895424 is 42459859274409.

It is a happy number.

90447295895424 is a `hidden beast` number, since 9 + 0 + 4 + 4 + 7 + 29 + 58 + 9 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5883508602 + ... + 5883523974.

It is an arithmetic number, because the mean of its divisors is an integer number (214052202000).

Almost surely, 2^{90447295895424} 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 90447295895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164392091136000).

90447295895424 is an abundant number, since it is smaller than the sum of its proper divisors (238336886376576).

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

90447295895424 is a wasteful number, since it uses less digits than its factorization.

90447295895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15508 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 90447295895424 in words is "ninety trillion, four hundred forty-seven billion, two hundred ninety-five million, eight hundred ninety-five thousand, four hundred twenty-four".