181086252309480 has 256 divisors, whose sum is σ = 631590110208000. Its totient is φ = 40676723417088.

The previous prime is 181086252309409. The next prime is 181086252309491. The reversal of 181086252309480 is 84903252680181.

It is a self number, because there is not a number n which added to its sum of digits gives 181086252309480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156479137 + ... + 157632143.

It is an arithmetic number, because the mean of its divisors is an integer number (2467148868000).

Almost surely, 2^{181086252309480} is an apocalyptic number.

181086252309480 is a gapful number since it is divisible by the number (10) 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 181086252309480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315795055104000).

181086252309480 is an abundant number, since it is smaller than the sum of its proper divisors (450503857898520).

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

181086252309480 is a wasteful number, since it uses less digits than its factorization.

181086252309480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156256 (or 1156252 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 181086252309480 in words is "one hundred eighty-one trillion, eighty-six billion, two hundred fifty-two million, three hundred nine thousand, four hundred eighty".