90269312652 has 192 divisors, whose sum is σ = 247757045760. Its totient is φ = 28366037568.

The previous prime is 90269312521. The next prime is 90269312659. The reversal of 90269312652 is 25621396209.

It is a junction number, because it is equal to n+sod(n) for n = 90269312598 and 90269312607.

It is not an unprimeable number, because it can be changed into a prime (90269312659) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59269963 + ... + 59271485.

It is an arithmetic number, because the mean of its divisors is an integer number (1290401280).

Almost surely, 2^90269312652 is an apocalyptic number.

90269312652 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90269312652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123878522880).

90269312652 is an abundant number, since it is smaller than the sum of its proper divisors (157487733108).

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

90269312652 is a wasteful number, since it uses less digits than its factorization.

90269312652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 90269312652 in words is "ninety billion, two hundred sixty-nine million, three hundred twelve thousand, six hundred fifty-two".