18145254240 has 144 divisors (see below), whose sum is σ = 62020144368. Its totient is φ = 4830962688.

The previous prime is 18145254227. The next prime is 18145254287. The reversal of 18145254240 is 4245254181.

18145254240 is a `hidden beast` number, since 18 + 14 + 52 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 18145254195 and 18145254204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916122 + ... + 935718.

It is an arithmetic number, because the mean of its divisors is an integer number (430695447).

Almost surely, 2^18145254240 is an apocalyptic number.

18145254240 is a gapful number since it is divisible by the number (10) 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 18145254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31010072184).

18145254240 is an abundant number, since it is smaller than the sum of its proper divisors (43874890128).

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

18145254240 is a wasteful number, since it uses less digits than its factorization.

18145254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20261 (or 20250 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 18145254240 in words is "eighteen billion, one hundred forty-five million, two hundred fifty-four thousand, two hundred forty".