93226989649920 has 576 divisors, whose sum is σ = 341397058093056. Its totient is φ = 21280661176320.

The previous prime is 93226989649919. The next prime is 93226989649933. The reversal of 93226989649920 is 2994698962239.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11381633025 + ... + 11381641215.

It is an arithmetic number, because the mean of its divisors is an integer number (592703225856).

Almost surely, 2^{93226989649920} 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 93226989649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698529046528).

93226989649920 is an abundant number, since it is smaller than the sum of its proper divisors (248170068443136).

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

93226989649920 is an frugal number, since it uses more digits than its factorization.

93226989649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 1632586752, while the sum is 78.

The spelling of 93226989649920 in words is "ninety-three trillion, two hundred twenty-six billion, nine hundred eighty-nine million, six hundred forty-nine thousand, nine hundred twenty".