90415956384 has 144 divisors (see below), whose sum is σ = 277087722912. Its totient is φ = 27801321984.

The previous prime is 90415956377. The next prime is 90415956403. The reversal of 90415956384 is 48365951409.

90415956384 is a `hidden beast` number, since 9 + 0 + 41 + 595 + 6 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 90415956384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6084067 + ... + 6098909.

It is an arithmetic number, because the mean of its divisors is an integer number (1924220298).

Almost surely, 2^90415956384 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 90415956384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138543861456).

90415956384 is an abundant number, since it is smaller than the sum of its proper divisors (186671766528).

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

90415956384 is a wasteful number, since it uses less digits than its factorization.

90415956384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16499 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 90415956384 in words is "ninety billion, four hundred fifteen million, nine hundred fifty-six thousand, three hundred eighty-four".