18542951203840 has 704 divisors, whose sum is σ = 54359822297088. Its totient is φ = 5924664115200.

The previous prime is 18542951203831. The next prime is 18542951203841. The reversal of 18542951203840 is 4830215924581.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18542951203841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43023088425 + ... + 43023088855.

It is an arithmetic number, because the mean of its divisors is an integer number (77215656672).

Almost surely, 2^{18542951203840} is an apocalyptic number.

18542951203840 is a gapful number since it is divisible by the number (10) 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 18542951203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27179911148544).

18542951203840 is an abundant number, since it is smaller than the sum of its proper divisors (35816871093248).

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

18542951203840 is a wasteful number, since it uses less digits than its factorization.

18542951203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 18542951203840 in words is "eighteen trillion, five hundred forty-two billion, nine hundred fifty-one million, two hundred three thousand, eight hundred forty".