1823743152 has 180 divisors, whose sum is σ = 6477270696. Its totient is φ = 473679360.

The previous prime is 1823743151. The next prime is 1823743211. The reversal of 1823743152 is 2513473281.

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 (1823743151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65868 + ... + 89364.

Almost surely, 2^1823743152 is an apocalyptic number.

1823743152 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 1823743152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238635348).

1823743152 is an abundant number, since it is smaller than the sum of its proper divisors (4653527544).

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

1823743152 is a wasteful number, since it uses less digits than its factorization.

1823743152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23536 (or 23520 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1823743152 is about 42705.3058998528. The cubic root of 1823743152 is about 1221.7655955114.

The spelling of 1823743152 in words is "one billion, eight hundred twenty-three million, seven hundred forty-three thousand, one hundred fifty-two".