90849796506 has 80 divisors (see below), whose sum is σ = 233387231616. Its totient is φ = 25875098784.

The previous prime is 90849796483. The next prime is 90849796511. The reversal of 90849796506 is 60569794809.

It is a happy number.

90849796506 is a `hidden beast` number, since 9 + 0 + 8 + 497 + 96 + 50 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 233115 + ... + 485841.

Almost surely, 2^90849796506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90849796506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116693615808).

90849796506 is an abundant number, since it is smaller than the sum of its proper divisors (142537435110).

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

90849796506 is a wasteful number, since it uses less digits than its factorization.

90849796506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253065 (or 253056 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

Adding to 90849796506 its sum of digits (63), we get a square (90849796569 = 301413²).

The spelling of 90849796506 in words is "ninety billion, eight hundred forty-nine million, seven hundred ninety-six thousand, five hundred six".