90714312000 has 672 divisors, whose sum is σ = 370083246624. Its totient is φ = 21012480000.

The previous prime is 90714311993. The next prime is 90714312011. The reversal of 90714312000 is 21341709.

It can be written as a sum of positive squares in 16 ways, for example, as 51481794816 + 39232517184 = 226896^2 + 198072^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15909150 + ... + 15914850.

It is an arithmetic number, because the mean of its divisors is an integer number (550719117).

Almost surely, 2^90714312000 is an apocalyptic number.

90714312000 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 90714312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185041623312).

90714312000 is an abundant number, since it is smaller than the sum of its proper divisors (279368934624).

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

90714312000 is a wasteful number, since it uses less digits than its factorization.

90714312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 90714312000 its reverse (21341709), we get a palindrome (90735653709).

The spelling of 90714312000 in words is "ninety billion, seven hundred fourteen million, three hundred twelve thousand".