90616858309440 has 672 divisors, whose sum is σ = 323537212776960. Its totient is φ = 23261633740800.

The previous prime is 90616858309403. The next prime is 90616858309451. The reversal of 90616858309440 is 4490385861609.

90616858309440 is a `hidden beast` number, since 9 + 0 + 6 + 1 + 6 + 8 + 583 + 0 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×90616858309440² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25475640142 + ... + 25475643698.

It is an arithmetic number, because the mean of its divisors is an integer number (481454185680).

Almost surely, 2^{90616858309440} is an apocalyptic number.

90616858309440 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 90616858309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161768606388480).

90616858309440 is an abundant number, since it is smaller than the sum of its proper divisors (232920354467520).

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

90616858309440 is a wasteful number, since it uses less digits than its factorization.

90616858309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 90616858309440 in words is "ninety trillion, six hundred sixteen billion, eight hundred fifty-eight million, three hundred nine thousand, four hundred forty".