90458311680 has 880 divisors, whose sum is σ = 359522634240. Its totient is φ = 21565440000.

The previous prime is 90458311613. The next prime is 90458311693. The reversal of 90458311680 is 8611385409.

90458311680 is a `hidden beast` number, since 9 + 0 + 4 + 583 + 1 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360391555 + ... + 360391805.

It is an arithmetic number, because the mean of its divisors is an integer number (408548448).

Almost surely, 2^90458311680 is an apocalyptic number.

90458311680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90458311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179761317120).

90458311680 is an abundant number, since it is smaller than the sum of its proper divisors (269064322560).

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

90458311680 is a wasteful number, since it uses less digits than its factorization.

90458311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 90458311680 in words is "ninety billion, four hundred fifty-eight million, three hundred eleven thousand, six hundred eighty".