9193412100096 has 945 divisors, whose sum is σ = 32645361858879. Its totient is φ = 2570802167808.

The previous prime is 9193412100073. The next prime is 9193412100113. The reversal of 9193412100096 is 6900012143919.

The square root of 9193412100096 is 3032064.

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

9193412100096 is a `hidden beast` number, since 9 + 1 + 9 + 341 + 210 + 0 + 0 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 195604512745 + ... + 195604512791.

Almost surely, 2^{9193412100096} is an apocalyptic number.

9193412100096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9193412100096 is the 3032064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9193412100096

9193412100096 is an abundant number, since it is smaller than the sum of its proper divisors (23451949758783).

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

9193412100096 is an frugal number, since it uses more digits than its factorization.

9193412100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 9193412100096 in words is "nine trillion, one hundred ninety-three billion, four hundred twelve million, one hundred thousand, ninety-six".