2131669721664 has 280 divisors, whose sum is σ = 7296104076800. Its totient is φ = 602768646144.

The previous prime is 2131669721563. The next prime is 2131669721689. The reversal of 2131669721664 is 4661279661312.

It is a happy number.

2131669721664 is a `hidden beast` number, since 21 + 316 + 6 + 97 + 216 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2131669721664.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3217137 + ... + 3822735.

It is an arithmetic number, because the mean of its divisors is an integer number (26057514560).

Almost surely, 2^{2131669721664} is an apocalyptic number.

2131669721664 is a gapful number since it is divisible by the number (24) 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 2131669721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648052038400).

2131669721664 is an abundant number, since it is smaller than the sum of its proper divisors (5164434355136).

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

2131669721664 is an equidigital number, since it uses as much as digits as its factorization.

2131669721664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605727 (or 605708 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 2131669721664 in words is "two trillion, one hundred thirty-one billion, six hundred sixty-nine million, seven hundred twenty-one thousand, six hundred sixty-four".