90128164464 has 240 divisors, whose sum is σ = 283193374464. Its totient is φ = 26569728000.

The previous prime is 90128164463. The next prime is 90128164499. The reversal of 90128164464 is 46446182109.

90128164464 is a `hidden beast` number, since 9 + 0 + 1 + 28 + 164 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90128164463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5853544 + ... + 5868920.

Almost surely, 2^90128164464 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 90128164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141596687232).

90128164464 is an abundant number, since it is smaller than the sum of its proper divisors (193065210000).

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

90128164464 is a wasteful number, since it uses less digits than its factorization.

90128164464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90128164464 in words is "ninety billion, one hundred twenty-eight million, one hundred sixty-four thousand, four hundred sixty-four".