18552288379968 has 336 divisors, whose sum is σ = 62323147286400. Its totient is φ = 5166031675392.

The previous prime is 18552288379957. The next prime is 18552288379969. The reversal of 18552288379968 is 86997388225581.

18552288379968 is a `hidden beast` number, since 1 + 8 + 5 + 522 + 8 + 83 + 7 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (18552288379969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79115758 + ... + 79349906.

It is an arithmetic number, because the mean of its divisors is an integer number (185485557400).

Almost surely, 2^{18552288379968} is an apocalyptic number.

18552288379968 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 18552288379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31161573643200).

18552288379968 is an abundant number, since it is smaller than the sum of its proper divisors (43770858906432).

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

18552288379968 is a wasteful number, since it uses less digits than its factorization.

18552288379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234674 (or 234661 counting only the distinct ones).

The product of its digits is 4180377600, while the sum is 81.

The spelling of 18552288379968 in words is "eighteen trillion, five hundred fifty-two billion, two hundred eighty-eight million, three hundred seventy-nine thousand, nine hundred sixty-eight".