181464034752 has 896 divisors, whose sum is σ = 731227392000. Its totient is φ = 43487539200.

The previous prime is 181464034751. The next prime is 181464034757. The reversal of 181464034752 is 257430464181.

181464034752 is a `hidden beast` number, since 18 + 146 + 403 + 47 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 181464034698 and 181464034707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181464034751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84755602 + ... + 84757742.

It is an arithmetic number, because the mean of its divisors is an integer number (816102000).

Almost surely, 2^181464034752 is an apocalyptic number.

181464034752 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 181464034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365613696000).

181464034752 is an abundant number, since it is smaller than the sum of its proper divisors (549763357248).

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

181464034752 is a wasteful number, since it uses less digits than its factorization.

181464034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 181464034752 in words is "one hundred eighty-one billion, four hundred sixty-four million, thirty-four thousand, seven hundred fifty-two".