18338309952 has 224 divisors, whose sum is σ = 54183198720. Its totient is φ = 5446932480.

The previous prime is 18338309917. The next prime is 18338309987. The reversal of 18338309952 is 25990383381.

It is an interprime number because it is at equal distance from previous prime (18338309917) and next prime (18338309987).

It is a super-2 number, since 2×18338309952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18338309895 and 18338309904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5116353 + ... + 5119935.

It is an arithmetic number, because the mean of its divisors is an integer number (241889280).

Almost surely, 2^18338309952 is an apocalyptic number.

18338309952 is a gapful number since it is divisible by the number (12) 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 18338309952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091599360).

18338309952 is an abundant number, since it is smaller than the sum of its proper divisors (35844888768).

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

18338309952 is a wasteful number, since it uses less digits than its factorization.

18338309952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 18338309952 in words is "eighteen billion, three hundred thirty-eight million, three hundred nine thousand, nine hundred fifty-two".