1833903612864 has 392 divisors, whose sum is σ = 5654327274000. Its totient is φ = 589182418944.

The previous prime is 1833903612817. The next prime is 1833903612901. The reversal of 1833903612864 is 4682163093381.

1833903612864 is a `hidden beast` number, since 18 + 3 + 3 + 9 + 0 + 3 + 612 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×1833903612864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1833903612864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1256958567 + ... + 1256960025.

Almost surely, 2^{1833903612864} 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 1833903612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827163637000).

1833903612864 is an abundant number, since it is smaller than the sum of its proper divisors (3820423661136).

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

1833903612864 is an equidigital number, since it uses as much as digits as its factorization.

1833903612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1833903612864 in words is "one trillion, eight hundred thirty-three billion, nine hundred three million, six hundred twelve thousand, eight hundred sixty-four".