90925485456 has 240 divisors, whose sum is σ = 278011491840. Its totient is φ = 25480765440.

The previous prime is 90925485449. The next prime is 90925485463. The reversal of 90925485456 is 65458452909.

It is an interprime number because it is at equal distance from previous prime (90925485449) and next prime (90925485463).

It is a junction number, because it is equal to n+sod(n) for n = 90925485396 and 90925485405.

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 47 ways as a sum of consecutive naturals, for example, 4264390 + ... + 4285658.

It is an arithmetic number, because the mean of its divisors is an integer number (1158381216).

Almost surely, 2^90925485456 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 90925485456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139005745920).

90925485456 is an abundant number, since it is smaller than the sum of its proper divisors (187086006384).

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

90925485456 is a wasteful number, since it uses less digits than its factorization.

90925485456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354 (or 21335 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 90925485456 in words is "ninety billion, nine hundred twenty-five million, four hundred eighty-five thousand, four hundred fifty-six".