96146672219136 has 2112 divisors, whose sum is σ = 378237996933120. Its totient is φ = 23828152320000.

The previous prime is 96146672219119. The next prime is 96146672219161. The reversal of 96146672219136 is 63191227664169.

It is a happy number.

96146672219136 is a `hidden beast` number, since 9 + 6 + 1 + 466 + 7 + 22 + 19 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33723840111 + ... + 33723842961.

Almost surely, 2^{96146672219136} is an apocalyptic number.

96146672219136 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 96146672219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189118998466560).

96146672219136 is an abundant number, since it is smaller than the sum of its proper divisors (282091324713984).

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

96146672219136 is a wasteful number, since it uses less digits than its factorization.

96146672219136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 2978 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 96146672219136 in words is "ninety-six trillion, one hundred forty-six billion, six hundred seventy-two million, two hundred nineteen thousand, one hundred thirty-six".