9916900090321 has 27 divisors (see below), whose sum is σ = 11576256613929. Its totient is φ = 8470629925128.

The previous prime is 9916900090313. The next prime is 9916900090343. The reversal of 9916900090321 is 1230900096199.

The square root of 9916900090321 is 3149111.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 9916900090321 - 2³ = 9916900090313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (9916900090351) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8354590890 + ... + 8354592076.

Almost surely, 2^{9916900090321} is an apocalyptic number.

9916900090321 is the 3149111-st square number.

9916900090321 is the 1574556-th centered octagonal number.

It is an amenable number.

9916900090321 is a deficient number, since it is larger than the sum of its proper divisors (1659356523608).

9916900090321 is an frugal number, since it uses more digits than its factorization.

9916900090321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 49.

Multiplying 9916900090321 by its sum of digits (49), we get a square (485928104425729 = 22043777²).

9916900090321 divided by its sum of digits (49) gives a square (202385716129 = 449873²).

The spelling of 9916900090321 in words is "nine trillion, nine hundred sixteen billion, nine hundred million, ninety thousand, three hundred twenty-one".