90464826150 has 72 divisors (see below), whose sum is σ = 243556822080. Its totient is φ = 24073533120.

The previous prime is 90464826143. The next prime is 90464826167. The reversal of 90464826150 is 5162846409.

90464826150 is a `hidden beast` number, since 9 + 0 + 464 + 82 + 61 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 90464826096 and 90464826105.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5704 + ... + 425396.

It is an arithmetic number, because the mean of its divisors is an integer number (3382733640).

Almost surely, 2^90464826150 is an apocalyptic number.

90464826150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90464826150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121778411040).

90464826150 is an abundant number, since it is smaller than the sum of its proper divisors (153091995930).

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

90464826150 is a wasteful number, since it uses less digits than its factorization.

90464826150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420190 (or 420182 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 90464826150 in words is "ninety billion, four hundred sixty-four million, eight hundred twenty-six thousand, one hundred fifty".