18006145920 has 384 divisors, whose sum is σ = 72234751680. Its totient is φ = 4047667200.

The previous prime is 18006145877. The next prime is 18006145951. The reversal of 18006145920 is 2954160081.

18006145920 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 61 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455860 + ... + 2463180.

Almost surely, 2^18006145920 is an apocalyptic number.

18006145920 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 18006145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36117375840).

18006145920 is an abundant number, since it is smaller than the sum of its proper divisors (54228605760).

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

18006145920 is a wasteful number, since it uses less digits than its factorization.

18006145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7414 (or 7399 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18006145920 in words is "eighteen billion, six million, one hundred forty-five thousand, nine hundred twenty".