18025652736 has 960 divisors, whose sum is σ = 70532985600. Its totient is φ = 4496228352.

The previous prime is 18025652717. The next prime is 18025652741. The reversal of 18025652736 is 63725652081.

18025652736 is a `hidden beast` number, since 1 + 80 + 2 + 565 + 2 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18025652691 and 18025652700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202535380 + ... + 202535468.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 2^18025652736 is an apocalyptic number.

18025652736 is a gapful number since it is divisible by the number (16) 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 18025652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35266492800).

18025652736 is an abundant number, since it is smaller than the sum of its proper divisors (52507332864).

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

18025652736 is a wasteful number, since it uses less digits than its factorization.

18025652736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 18025 and 652736, that added together give a square (670761 = 819²).

The spelling of 18025652736 in words is "eighteen billion, twenty-five million, six hundred fifty-two thousand, seven hundred thirty-six".