1864648512 has 280 divisors, whose sum is σ = 5865522432. Its totient is φ = 584755200.

The previous prime is 1864648483. The next prime is 1864648547. The reversal of 1864648512 is 2158464681.

It is a happy number.

1864648512 is a `hidden beast` number, since 18 + 64 + 64 + 8 + 512 = 666.

Its product of digits (368640) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6588723 + ... + 6589005.

Almost surely, 2^1864648512 is an apocalyptic number.

1864648512 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 1864648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932761216).

1864648512 is an abundant number, since it is smaller than the sum of its proper divisors (4000873920).

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

1864648512 is a wasteful number, since it uses less digits than its factorization.

1864648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1864648512 is about 43181.5760712830. The cubic root of 1864648512 is about 1230.8326069993.

The spelling of 1864648512 in words is "one billion, eight hundred sixty-four million, six hundred forty-eight thousand, five hundred twelve".