90459446382240 has 192 divisors, whose sum is σ = 317447872156800. Its totient is φ = 21499115065344.

The previous prime is 90459446382209. The next prime is 90459446382241. The reversal of 90459446382240 is 4228364495409.

It is a happy number.

It is a super-2 number, since 2×90459446382240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (90459446382241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249762250 + ... + 250124169.

It is an arithmetic number, because the mean of its divisors is an integer number (1653374334150).

Almost surely, 2^{90459446382240} is an apocalyptic number.

It is an amenable number.

90459446382240 is an abundant number, since it is smaller than the sum of its proper divisors (226988425774560).

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

90459446382240 is a wasteful number, since it uses less digits than its factorization.

90459446382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499886479 (or 499886471 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 60.

The spelling of 90459446382240 in words is "ninety trillion, four hundred fifty-nine billion, four hundred forty-six million, three hundred eighty-two thousand, two hundred forty".