90084715750848 has 1344 divisors, whose sum is σ = 338558036705280. Its totient is φ = 20834653593600.

The previous prime is 90084715750847. The next prime is 90084715750853. The reversal of 90084715750848 is 84805751748009.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×90084715750848² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90084715750847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1656825103 + ... + 1656879473.

It is an arithmetic number, because the mean of its divisors is an integer number (251903301120).

Almost surely, 2^{90084715750848} is an apocalyptic number.

90084715750848 is a gapful number since it is divisible by the number (98) 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 90084715750848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169279018352640).

90084715750848 is an abundant number, since it is smaller than the sum of its proper divisors (248473320954432).

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

90084715750848 is a wasteful number, since it uses less digits than its factorization.

90084715750848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54486 (or 54469 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 66.

It can be divided in two parts, 900 and 84715750848, that added together give a palindrome (84715751748).

The spelling of 90084715750848 in words is "ninety trillion, eighty-four billion, seven hundred fifteen million, seven hundred fifty thousand, eight hundred forty-eight".