18242348027904 has 4160 divisors, whose sum is σ = 79923191040000. Its totient is φ = 4073359933440.

The previous prime is 18242348027899. The next prime is 18242348027927. The reversal of 18242348027904 is 40972084324281.

18242348027904 is a `hidden beast` number, since 1 + 8 + 24 + 2 + 348 + 0 + 279 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 309192339427 + ... + 309192339485.

Almost surely, 2^{18242348027904} is an apocalyptic number.

18242348027904 is a gapful number since it is divisible by the number (14) 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 18242348027904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39961595520000).

18242348027904 is an abundant number, since it is smaller than the sum of its proper divisors (61680843012096).

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

18242348027904 is a wasteful number, since it uses less digits than its factorization.

18242348027904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 18242348027904 in words is "eighteen trillion, two hundred forty-two billion, three hundred forty-eight million, twenty-seven thousand, nine hundred four".