93242121190416 has 405 divisors, whose sum is σ = 289092002106271. Its totient is φ = 28033868227200.

The previous prime is 93242121190313. The next prime is 93242121190469. The reversal of 93242121190416 is 61409112124239.

The square root of 93242121190416 is 9656196.

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

93242121190416 is a `hidden beast` number, since 9 + 3 + 2 + 4 + 21 + 21 + 190 + 416 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243452013361 + ... + 243452013743.

Almost surely, 2^{93242121190416} is an apocalyptic number.

93242121190416 is the 9656196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93242121190416

93242121190416 is an abundant number, since it is smaller than the sum of its proper divisors (195849880915855).

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

93242121190416 is a wasteful number, since it uses less digits than its factorization.

93242121190416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 93242121190416 in words is "ninety-three trillion, two hundred forty-two billion, one hundred twenty-one million, one hundred ninety thousand, four hundred sixteen".