90454538772 has 144 divisors (see below), whose sum is σ = 249111691920. Its totient is φ = 27508690944.

The previous prime is 90454538771. The next prime is 90454538821. The reversal of 90454538772 is 27783545409.

It is a happy number.

90454538772 is a `hidden beast` number, since 9 + 0 + 45 + 453 + 87 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34940581776 + 55513956996 = 186924^2 + 235614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90454538771) 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, 20569678 + ... + 20574074.

It is an arithmetic number, because the mean of its divisors is an integer number (1729942305).

Almost surely, 2^90454538772 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 90454538772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124555845960).

90454538772 is an abundant number, since it is smaller than the sum of its proper divisors (158657153148).

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

90454538772 is a wasteful number, since it uses less digits than its factorization.

90454538772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 90454538772 in words is "ninety billion, four hundred fifty-four million, five hundred thirty-eight thousand, seven hundred seventy-two".