2091143291328 has 672 divisors, whose sum is σ = 7757179702272. Its totient is φ = 523465113600.

The previous prime is 2091143291311. The next prime is 2091143291387. The reversal of 2091143291328 is 8231923411902.

2091143291328 is a `hidden beast` number, since 20 + 9 + 1 + 14 + 3 + 291 + 328 = 666.

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

It is a super-2 number, since 2×2091143291328² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157922788 + ... + 157936028.

It is an arithmetic number, because the mean of its divisors is an integer number (11543422176).

Almost surely, 2^{2091143291328} is an apocalyptic number.

2091143291328 is a gapful number since it is divisible by the number (28) 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 2091143291328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878589851136).

2091143291328 is an abundant number, since it is smaller than the sum of its proper divisors (5666036410944).

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

2091143291328 is a wasteful number, since it uses less digits than its factorization.

2091143291328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2091143291328 in words is "two trillion, ninety-one billion, one hundred forty-three million, two hundred ninety-one thousand, three hundred twenty-eight".