1891164672 has 200 divisors, whose sum is σ = 5830674432. Its totient is φ = 609638400.

The previous prime is 1891164661. The next prime is 1891164721. The reversal of 1891164672 is 2764611981.

1891164672 is a `hidden beast` number, since 189 + 1 + 1 + 6 + 467 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1284897 + ... + 1286367.

Almost surely, 2^1891164672 is an apocalyptic number.

1891164672 is a gapful number since it is divisible by the number (12) 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 1891164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915337216).

1891164672 is an abundant number, since it is smaller than the sum of its proper divisors (3939509760).

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

1891164672 is an equidigital number, since it uses as much as digits as its factorization.

1891164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1507 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 1891164672 is about 43487.5231761939. The cubic root of 1891164672 is about 1236.6395031688.

The spelling of 1891164672 in words is "one billion, eight hundred ninety-one million, one hundred sixty-four thousand, six hundred seventy-two".