18124428239136 has 384 divisors, whose sum is σ = 57488901120000. Its totient is φ = 5534176711680.

The previous prime is 18124428239077. The next prime is 18124428239179. The reversal of 18124428239136 is 63193282442181.

It is a happy number.

18124428239136 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 442 + 82 + 3 + 91 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625418695 + ... + 625447673.

It is an arithmetic number, because the mean of its divisors is an integer number (149710680000).

Almost surely, 2^{18124428239136} is an apocalyptic number.

18124428239136 is a gapful number since it is divisible by the number (16) 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 18124428239136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28744450560000).

18124428239136 is an abundant number, since it is smaller than the sum of its proper divisors (39364472880864).

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

18124428239136 is a wasteful number, since it uses less digits than its factorization.

18124428239136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30277 (or 30263 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 18124428239136 in words is "eighteen trillion, one hundred twenty-four billion, four hundred twenty-eight million, two hundred thirty-nine thousand, one hundred thirty-six".