133117668040896 has 672 divisors, whose sum is σ = 500864084497920. Its totient is φ = 32748480921600.

The previous prime is 133117668040891. The next prime is 133117668040997. The reversal of 133117668040896 is 698040866711331.

133117668040896 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 7 + 66 + 80 + 408 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (133117668040891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4096290120 + ... + 4096322616.

Almost surely, 2^{133117668040896} is an apocalyptic number.

133117668040896 is a gapful number since it is divisible by the number (16) 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 133117668040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250432042248960).

133117668040896 is an abundant number, since it is smaller than the sum of its proper divisors (367746416457024).

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

133117668040896 is a wasteful number, since it uses less digits than its factorization.

133117668040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37413 (or 37400 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 133117668040896 in words is "one hundred thirty-three trillion, one hundred seventeen billion, six hundred sixty-eight million, forty thousand, eight hundred ninety-six".