181224259345936 has 45 divisors (see below), whose sum is σ = 370576837108623. Its totient is φ = 85842585586080.

The previous prime is 181224259345889. The next prime is 181224259345949. The reversal of 181224259345936 is 639543952422181.

It is a happy number.

The square root of 181224259345936 is 13461956.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1023020091 + ... + 1023197221.

Almost surely, 2^{181224259345936} is an apocalyptic number.

181224259345936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181224259345936 is the 13461956-th square number.

It is an amenable number.

181224259345936 is an abundant number, since it is smaller than the sum of its proper divisors (189352577762687).

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

181224259345936 is an frugal number, since it uses more digits than its factorization.

181224259345936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354308 (or 177152 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 64.

The spelling of 181224259345936 in words is "one hundred eighty-one trillion, two hundred twenty-four billion, two hundred fifty-nine million, three hundred forty-five thousand, nine hundred thirty-six".