181157078918088 has 576 divisors, whose sum is σ = 638012746425600. Its totient is φ = 45213280773120.

The previous prime is 181157078918077. The next prime is 181157078918117. The reversal of 181157078918088 is 880819870751181.

It is a super-2 number, since 2×181157078918088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2173643298 + ... + 2173726638.

It is an arithmetic number, because the mean of its divisors is an integer number (1107661018100).

Almost surely, 2^{181157078918088} is an apocalyptic number.

181157078918088 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 181157078918088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319006373212800).

181157078918088 is an abundant number, since it is smaller than the sum of its proper divisors (456855667507512).

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

181157078918088 is a wasteful number, since it uses less digits than its factorization.

181157078918088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84330 (or 84304 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 72.

The spelling of 181157078918088 in words is "one hundred eighty-one trillion, one hundred fifty-seven billion, seventy-eight million, nine hundred eighteen thousand, eighty-eight".