181959012468 has 96 divisors (see below), whose sum is σ = 475198881920. Its totient is φ = 60210501120.

The previous prime is 181959012461. The next prime is 181959012479. The reversal of 181959012468 is 864210959181.

181959012468 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 590 + 1 + 2 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181959012461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9036780 + ... + 9056892.

Almost surely, 2^181959012468 is an apocalyptic number.

181959012468 is a gapful number since it is divisible by the number (18) 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 181959012468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237599440960).

181959012468 is an abundant number, since it is smaller than the sum of its proper divisors (293239869452).

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

181959012468 is a wasteful number, since it uses less digits than its factorization.

181959012468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20734 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 181959012468 in words is "one hundred eighty-one billion, nine hundred fifty-nine million, twelve thousand, four hundred sixty-eight".