1868025465504 has 1440 divisors, whose sum is σ = 6729167757312. Its totient is φ = 503387136000.

The previous prime is 1868025465503. The next prime is 1868025465529. The reversal of 1868025465504 is 4055645208681.

1868025465504 is a `hidden beast` number, since 1 + 8 + 6 + 80 + 2 + 5 + 4 + 6 + 550 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1868025465503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18136169517 + ... + 18136169619.

Almost surely, 2^{1868025465504} 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 1868025465504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364583878656).

1868025465504 is an abundant number, since it is smaller than the sum of its proper divisors (4861142291808).

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

1868025465504 is a wasteful number, since it uses less digits than its factorization.

1868025465504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 1868025465504 in words is "one trillion, eight hundred sixty-eight billion, twenty-five million, four hundred sixty-five thousand, five hundred four".