90545244416 has 432 divisors, whose sum is σ = 224336620032. Its totient is φ = 36097228800.

The previous prime is 90545244407. The next prime is 90545244463. The reversal of 90545244416 is 61444254509.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933456080 + ... + 933456176.

Almost surely, 2^90545244416 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 90545244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112168310016).

90545244416 is an abundant number, since it is smaller than the sum of its proper divisors (133791375616).

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

90545244416 is a wasteful number, since it uses less digits than its factorization.

90545244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 90545244416 in words is "ninety billion, five hundred forty-five million, two hundred forty-four thousand, four hundred sixteen".