2133851864001 has 32 divisors (see below), whose sum is σ = 3366584309760. Its totient is φ = 1185175022400.

The previous prime is 2133851863993. The next prime is 2133851864021. The reversal of 2133851864001 is 1004681583312.

It is a happy number.

It is not a de Polignac number, because 2133851864001 - 2³ = 2133851863993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2133851864021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17832505 + ... + 17951766.

It is an arithmetic number, because the mean of its divisors is an integer number (105205759680).

Almost surely, 2^{2133851864001} is an apocalyptic number.

It is an amenable number.

2133851864001 is a deficient number, since it is larger than the sum of its proper divisors (1232732445759).

2133851864001 is a wasteful number, since it uses less digits than its factorization.

2133851864001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35784437.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 2133851864001 in words is "two trillion, one hundred thirty-three billion, eight hundred fifty-one million, eight hundred sixty-four thousand, one".