18345341952 has 264 divisors, whose sum is σ = 60885968000. Its totient is φ = 5211537408.

The previous prime is 18345341879. The next prime is 18345341953. The reversal of 18345341952 is 25914354381.

18345341952 is a `hidden beast` number, since 1 + 8 + 3 + 453 + 4 + 195 + 2 = 666.

It is a super-2 number, since 2×18345341952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18345341898 and 18345341907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18345341953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12837174 + ... + 12838602.

Almost surely, 2^18345341952 is an apocalyptic number.

18345341952 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 18345341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442984000).

18345341952 is an abundant number, since it is smaller than the sum of its proper divisors (42540626048).

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

18345341952 is a wasteful number, since it uses less digits than its factorization.

18345341952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1640 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

It can be divided in two parts, 1834534 and 1952, that added together give a triangular number (1836486 = T₁₉₁₆).

The spelling of 18345341952 in words is "eighteen billion, three hundred forty-five million, three hundred forty-one thousand, nine hundred fifty-two".