181687008790656 has 256 divisors, whose sum is σ = 539844949324800. Its totient is φ = 60154235781120.

The previous prime is 181687008790621. The next prime is 181687008790667. The reversal of 181687008790656 is 656097800786181.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493694961 + ... + 1493816591.

It is an arithmetic number, because the mean of its divisors is an integer number (2108769333300).

Almost surely, 2^{181687008790656} is an apocalyptic number.

181687008790656 is a gapful number since it is divisible by the number (16) 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 181687008790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269922474662400).

181687008790656 is an abundant number, since it is smaller than the sum of its proper divisors (358157940534144).

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

181687008790656 is a wasteful number, since it uses less digits than its factorization.

181687008790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124564 (or 124546 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 181687008790656 in words is "one hundred eighty-one trillion, six hundred eighty-seven billion, eight million, seven hundred ninety thousand, six hundred fifty-six".