90387517248 has 112 divisors (see below), whose sum is σ = 303682968960. Its totient is φ = 25825001472.

The previous prime is 90387517247. The next prime is 90387517261. The reversal of 90387517248 is 84271578309.

It is a happy number.

90387517248 is a `hidden beast` number, since 9 + 0 + 3 + 87 + 517 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90387517194 and 90387517203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90387517247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3724161 + ... + 3748352.

It is an arithmetic number, because the mean of its divisors is an integer number (2711455080).

Almost surely, 2^90387517248 is an apocalyptic number.

It is an amenable number.

90387517248 is an abundant number, since it is smaller than the sum of its proper divisors (213295451712).

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

90387517248 is a wasteful number, since it uses less digits than its factorization.

90387517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472541 (or 7472525 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 90387517248 in words is "ninety billion, three hundred eighty-seven million, five hundred seventeen thousand, two hundred forty-eight".