1819641312 has 72 divisors (see below), whose sum is σ = 5232820320. Its totient is φ = 599723520.

The previous prime is 1819641301. The next prime is 1819641319. The reversal of 1819641312 is 2131469181.

1819641312 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 641 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1819641312² = 6622189008674162688, which contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1819641319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9864 + ... + 61127.

It is an arithmetic number, because the mean of its divisors is an integer number (72678060).

Almost surely, 2^1819641312 is an apocalyptic number.

1819641312 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 1819641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616410160).

1819641312 is an abundant number, since it is smaller than the sum of its proper divisors (3413179008).

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

1819641312 is a wasteful number, since it uses less digits than its factorization.

1819641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71096 (or 71085 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1819641312 is about 42657.2539200544. The cubic root of 1819641312 is about 1220.8489370348.

The spelling of 1819641312 in words is "one billion, eight hundred nineteen million, six hundred forty-one thousand, three hundred twelve".