90124843264 has 81 divisors (see below), whose sum is σ = 186603324817. Its totient is φ = 43441298432.

The previous prime is 90124843261. The next prime is 90124843283. The reversal of 90124843264 is 46234842109.

The square root of 90124843264 is 300208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47259281664 + 42865561600 = 217392^2 + 207040^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90124843264.

It is not an unprimeable number, because it can be changed into a prime (90124843261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139296189 + ... + 139296835.

Almost surely, 2^90124843264 is an apocalyptic number.

90124843264 is the 300208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90124843264

90124843264 is an abundant number, since it is smaller than the sum of its proper divisors (96478481553).

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

90124843264 is an frugal number, since it uses more digits than its factorization.

90124843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 90124843264 in words is "ninety billion, one hundred twenty-four million, eight hundred forty-three thousand, two hundred sixty-four".