90409867415 has 144 divisors (see below), whose sum is σ = 141296156352. Its totient is φ = 55160082432.

The previous prime is 90409867411. The next prime is 90409867417. The reversal of 90409867415 is 51476890409.

It is not a de Polignac number, because 90409867415 - 2² = 90409867411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90409867411) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 185646302 + ... + 185646788.

It is an arithmetic number, because the mean of its divisors is an integer number (981223308).

Almost surely, 2^90409867415 is an apocalyptic number.

90409867415 is a deficient number, since it is larger than the sum of its proper divisors (50886288937).

90409867415 is a wasteful number, since it uses less digits than its factorization.

90409867415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 90409867415 in words is "ninety billion, four hundred nine million, eight hundred sixty-seven thousand, four hundred fifteen".