1873643112 has 192 divisors, whose sum is σ = 5859734400. Its totient is φ = 535265280.

The previous prime is 1873643087. The next prime is 1873643113. The reversal of 1873643112 is 2113463781.

It is a happy number.

1873643112 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 643 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×1873643112² = 7021077022290089088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1873643113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329064 + ... + 1330472.

It is an arithmetic number, because the mean of its divisors is an integer number (30519450).

Almost surely, 2^1873643112 is an apocalyptic number.

1873643112 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 1873643112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929867200).

1873643112 is an abundant number, since it is smaller than the sum of its proper divisors (3986091288).

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

1873643112 is a wasteful number, since it uses less digits than its factorization.

1873643112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1521 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1873643112 is about 43285.5993605264. The cubic root of 1873643112 is about 1232.8085099545.

The spelling of 1873643112 in words is "one billion, eight hundred seventy-three million, six hundred forty-three thousand, one hundred twelve".