1801764144 has 60 divisors (see below), whose sum is σ = 5205109312. Its totient is φ = 581212800.

The previous prime is 1801764143. The next prime is 1801764157. The reversal of 1801764144 is 4414671081.

1801764144 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 7 + 641 + 4 + 4 = 666.

1801764144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1801764099 and 1801764108.

It is not an unprimeable number, because it can be changed into a prime (1801764143) 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, 197347 + ... + 206274.

Almost surely, 2^1801764144 is an apocalyptic number.

It is an amenable number.

1801764144 is an abundant number, since it is smaller than the sum of its proper divisors (3403345168).

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

1801764144 is a wasteful number, since it uses less digits than its factorization.

1801764144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403666 (or 403657 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1801764144 is about 42447.1924159891. The cubic root of 1801764144 is about 1216.8376723252.

The spelling of 1801764144 in words is "one billion, eight hundred one million, seven hundred sixty-four thousand, one hundred forty-four".