1810182242304 has 272 divisors, whose sum is σ = 5384816107200. Its totient is φ = 600992907264.

The previous prime is 1810182242293. The next prime is 1810182242333. The reversal of 1810182242304 is 4032422810181.

1810182242304 is a `hidden beast` number, since 1 + 8 + 101 + 8 + 2 + 242 + 304 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475986067 + ... + 475989869.

Almost surely, 2^{1810182242304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1810182242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692408053600).

1810182242304 is an abundant number, since it is smaller than the sum of its proper divisors (3574633864896).

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

1810182242304 is an frugal number, since it uses more digits than its factorization.

1810182242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1810182242304 in words is "one trillion, eight hundred ten billion, one hundred eighty-two million, two hundred forty-two thousand, three hundred four".