18012976128 has 352 divisors, whose sum is σ = 61447992320. Its totient is φ = 5106032640.

The previous prime is 18012976123. The next prime is 18012976169. The reversal of 18012976128 is 82167921081.

18012976128 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 29 + 7 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18012976123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31546083 + ... + 31546653.

It is an arithmetic number, because the mean of its divisors is an integer number (174568160).

Almost surely, 2^18012976128 is an apocalyptic number.

18012976128 is a gapful number since it is divisible by the number (18) 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 18012976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723996160).

18012976128 is an abundant number, since it is smaller than the sum of its proper divisors (43435016192).

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

18012976128 is a wasteful number, since it uses less digits than its factorization.

18012976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 18012976128 in words is "eighteen billion, twelve million, nine hundred seventy-six thousand, one hundred twenty-eight".