96269616446976 has 800 divisors, whose sum is σ = 356186243996352. Its totient is φ = 25256169308160.

The previous prime is 96269616446957. The next prime is 96269616446987. The reversal of 96269616446976 is 67964461696269.

96269616446976 is a `hidden beast` number, since 9 + 6 + 2 + 6 + 96 + 1 + 64 + 469 + 7 + 6 = 666.

96269616446976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96269616446895 and 96269616446904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202104000 + ... + 202579776.

Almost surely, 2^{96269616446976} is an apocalyptic number.

96269616446976 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 96269616446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178093121998176).

96269616446976 is an abundant number, since it is smaller than the sum of its proper divisors (259916627549376).

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

96269616446976 is a wasteful number, since it uses less digits than its factorization.

96269616446976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475872 (or 475847 counting only the distinct ones).

The product of its digits is 7618738176, while the sum is 81.

The spelling of 96269616446976 in words is "ninety-six trillion, two hundred sixty-nine billion, six hundred sixteen million, four hundred forty-six thousand, nine hundred seventy-six".