181227095890848 has 480 divisors, whose sum is σ = 672996812108544. Its totient is φ = 46614494158848.

The previous prime is 181227095890837. The next prime is 181227095890921. The reversal of 181227095890848 is 848098590722181.

181227095890848 is a `hidden beast` number, since 1 + 8 + 12 + 27 + 0 + 9 + 589 + 0 + 8 + 4 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 5678415 + ... + 19867022.

Almost surely, 2^{181227095890848} is an apocalyptic number.

181227095890848 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 181227095890848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336498406054272).

181227095890848 is an abundant number, since it is smaller than the sum of its proper divisors (491769716217696).

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

181227095890848 is a wasteful number, since it uses less digits than its factorization.

181227095890848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25545506 (or 25545489 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 181227095890848 in words is "one hundred eighty-one trillion, two hundred twenty-seven billion, ninety-five million, eight hundred ninety thousand, eight hundred forty-eight".