9716414190336 has 1296 divisors, whose sum is σ = 35882786284800. Its totient is φ = 2468262150144.

The previous prime is 9716414190313. The next prime is 9716414190361. The reversal of 9716414190336 is 6330914146179.

9716414190336 is a `hidden beast` number, since 9 + 7 + 1 + 6 + 414 + 190 + 3 + 36 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9535244035 + ... + 9535245053.

Almost surely, 2^{9716414190336} is an apocalyptic number.

9716414190336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9716414190336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941393142400).

9716414190336 is an abundant number, since it is smaller than the sum of its proper divisors (26166372094464).

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

9716414190336 is a wasteful number, since it uses less digits than its factorization.

9716414190336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9716414190336 in words is "nine trillion, seven hundred sixteen billion, four hundred fourteen million, one hundred ninety thousand, three hundred thirty-six".