18146524032 has 768 divisors, whose sum is σ = 68434329600. Its totient is φ = 4486938624.

The previous prime is 18146524031. The next prime is 18146524043. The reversal of 18146524032 is 23042564181.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18146524031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142885953 + ... + 142886079.

It is an arithmetic number, because the mean of its divisors is an integer number (89107200).

Almost surely, 2^18146524032 is an apocalyptic number.

18146524032 is a gapful number since it is divisible by the number (12) 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 18146524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34217164800).

18146524032 is an abundant number, since it is smaller than the sum of its proper divisors (50287805568).

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

18146524032 is a wasteful number, since it uses less digits than its factorization.

18146524032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18146524032 in words is "eighteen billion, one hundred forty-six million, five hundred twenty-four thousand, thirty-two".