9933996923136 has 1728 divisors, whose sum is σ = 36529340440320. Its totient is φ = 2622888345600.

The previous prime is 9933996923113. The next prime is 9933996923153. The reversal of 9933996923136 is 6313296993399.

9933996923136 is a `hidden beast` number, since 9 + 93 + 399 + 6 + 92 + 31 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

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, 136082149596 + ... + 136082149668.

Almost surely, 2^{9933996923136} is an apocalyptic number.

9933996923136 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 9933996923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18264670220160).

9933996923136 is an abundant number, since it is smaller than the sum of its proper divisors (26595343517184).

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

9933996923136 is a wasteful number, since it uses less digits than its factorization.

9933996923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 200 counting only the distinct ones).

The product of its digits is 344373768, while the sum is 72.

The spelling of 9933996923136 in words is "nine trillion, nine hundred thirty-three billion, nine hundred ninety-six million, nine hundred twenty-three thousand, one hundred thirty-six".