90464187683808 has 144 divisors (see below), whose sum is σ = 259524058103856. Its totient is φ = 29890184232960.

The previous prime is 90464187683729. The next prime is 90464187683893. The reversal of 90464187683808 is 80838678146409.

90464187683808 is a `hidden beast` number, since 9 + 0 + 4 + 6 + 4 + 187 + 68 + 380 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12459003 + ... + 18334533.

It is an arithmetic number, because the mean of its divisors is an integer number (1802250403499).

Almost surely, 2^{90464187683808} 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 90464187683808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129762029051928).

90464187683808 is an abundant number, since it is smaller than the sum of its proper divisors (169059870420048).

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

90464187683808 is a wasteful number, since it uses less digits than its factorization.

90464187683808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876017 (or 5876006 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 90464187683808 in words is "ninety trillion, four hundred sixty-four billion, one hundred eighty-seven million, six hundred eighty-three thousand, eight hundred eight".