18134461440 has 440 divisors, whose sum is σ = 65983816800. Its totient is φ = 4761649152.

The previous prime is 18134461439. The next prime is 18134461463. The reversal of 18134461440 is 4416443181.

It is a happy number.

18134461440 is a `hidden beast` number, since 1 + 8 + 1 + 34 + 4 + 614 + 4 + 0 = 666.

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 = 18134461395 and 18134461404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30274261 + ... + 30274859.

It is an arithmetic number, because the mean of its divisors is an integer number (149963220).

Almost surely, 2^18134461440 is an apocalyptic number.

18134461440 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 18134461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32991908400).

18134461440 is an abundant number, since it is smaller than the sum of its proper divisors (47849355360).

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

18134461440 is an equidigital number, since it uses as much as digits as its factorization.

18134461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 18134461440 in words is "eighteen billion, one hundred thirty-four million, four hundred sixty-one thousand, four hundred forty".