90714616300 has 288 divisors, whose sum is σ = 265183027200. Its totient is φ = 26609587200.

The previous prime is 90714616247. The next prime is 90714616309. The reversal of 90714616300 is 361641709.

It is a super-2 number, since 2×90714616300² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 90714616300.

It is not an unprimeable number, because it can be changed into a prime (90714616309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6407029 + ... + 6421171.

It is an arithmetic number, because the mean of its divisors is an integer number (920774400).

Almost surely, 2^90714616300 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 90714616300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132591513600).

90714616300 is an abundant number, since it is smaller than the sum of its proper divisors (174468410900).

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

90714616300 is a wasteful number, since it uses less digits than its factorization.

90714616300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 90714616300 in words is "ninety billion, seven hundred fourteen million, six hundred sixteen thousand, three hundred".