18201953952 has 432 divisors, whose sum is σ = 66255501312. Its totient is φ = 4696151040.

The previous prime is 18201953947. The next prime is 18201953953. The reversal of 18201953952 is 25935910281.

It is a super-2 number, since 2×18201953952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18201953898 and 18201953907.

It is not an unprimeable number, because it can be changed into a prime (18201953953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8621377 + ... + 8623487.

It is an arithmetic number, because the mean of its divisors is an integer number (153369216).

Almost surely, 2^18201953952 is an apocalyptic number.

18201953952 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 18201953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33127750656).

18201953952 is an abundant number, since it is smaller than the sum of its proper divisors (48053547360).

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

18201953952 is a wasteful number, since it uses less digits than its factorization.

18201953952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 18201953952 in words is "eighteen billion, two hundred one million, nine hundred fifty-three thousand, nine hundred fifty-two".