181284250785856 has 63 divisors (see below), whose sum is σ = 367563005891949. Its totient is φ = 88711092123648.

The previous prime is 181284250785811. The next prime is 181284250785871. The reversal of 181284250785856 is 658587052482181.

The square root of 181284250785856 is 13464184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91504835745856 + 89779415040000 = 9565816^2 + 9475200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5062515280 + ... + 5062551088.

Almost surely, 2^{181284250785856} is an apocalyptic number.

181284250785856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181284250785856 is the 13464184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181284250785856

181284250785856 is an abundant number, since it is smaller than the sum of its proper divisors (186278755106093).

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

181284250785856 is an frugal number, since it uses more digits than its factorization.

181284250785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71724 (or 35858 counting only the distinct ones).

The product of its (nonzero) digits is 344064000, while the sum is 70.

The spelling of 181284250785856 in words is "one hundred eighty-one trillion, two hundred eighty-four billion, two hundred fifty million, seven hundred eighty-five thousand, eight hundred fifty-six".