181048272768 has 256 divisors, whose sum is σ = 584064403200. Its totient is φ = 54755481600.

The previous prime is 181048272767. The next prime is 181048272793. The reversal of 181048272768 is 867272840181.

181048272768 is a `hidden beast` number, since 1 + 81 + 0 + 482 + 7 + 27 + 68 = 666.

It is a super-2 number, since 2×181048272768² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (181048272767) 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, 20562255 + ... + 20571057.

It is an arithmetic number, because the mean of its divisors is an integer number (2281501575).

Almost surely, 2^181048272768 is an apocalyptic number.

181048272768 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 181048272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292032201600).

181048272768 is an abundant number, since it is smaller than the sum of its proper divisors (403016130432).

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

181048272768 is a wasteful number, since it uses less digits than its factorization.

181048272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 181048272768 in words is "one hundred eighty-one billion, forty-eight million, two hundred seventy-two thousand, seven hundred sixty-eight".