1814713992 has 384 divisors, whose sum is σ = 6340239360. Its totient is φ = 456261120.

The previous prime is 1814713987. The next prime is 1814714003. The reversal of 1814713992 is 2993174181.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21863983 + ... + 21864065.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^1814713992 is an apocalyptic number.

1814713992 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 1814713992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

1814713992 is an abundant number, since it is smaller than the sum of its proper divisors (4525525368).

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

1814713992 is a wasteful number, since it uses less digits than its factorization.

1814713992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1814713992 is about 42599.4599965774. The cubic root of 1814713992 is about 1219.7459813341.

It can be divided in two parts, 1814 and 713992, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 1814713992 in words is "one billion, eight hundred fourteen million, seven hundred thirteen thousand, nine hundred ninety-two".