90429724448 has 96 divisors (see below), whose sum is σ = 207546603264. Its totient is φ = 37980214272.

The previous prime is 90429724447. The next prime is 90429724481. The reversal of 90429724448 is 84442792409.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 90429724448.

It is not an unprimeable number, because it can be changed into a prime (90429724447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11476286 + ... + 11484162.

It is an arithmetic number, because the mean of its divisors is an integer number (2161943784).

Almost surely, 2^90429724448 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 90429724448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103773301632).

90429724448 is an abundant number, since it is smaller than the sum of its proper divisors (117116878816).

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

90429724448 is a wasteful number, since it uses less digits than its factorization.

90429724448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 90429724448 in words is "ninety billion, four hundred twenty-nine million, seven hundred twenty-four thousand, four hundred forty-eight".