81461400327 has 8 divisors (see below), whose sum is σ = 120683556080. Its totient is φ = 54307600200.

The previous prime is 81461400313. The next prime is 81461400329. The reversal of 81461400327 is 72300416418.

81461400327 is a `hidden beast` number, since 8 + 1 + 4 + 614 + 0 + 0 + 32 + 7 = 666.

It is not a de Polignac number, because 81461400327 - 2¹⁰ = 81461399303 is a prime.

It is a super-4 number, since 4×81461400327⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81461400291 and 81461400300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81461400329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1508544424 + ... + 1508544477.

It is an arithmetic number, because the mean of its divisors is an integer number (15085444510).

Almost surely, 2^81461400327 is an apocalyptic number.

81461400327 is a deficient number, since it is larger than the sum of its proper divisors (39222155753).

81461400327 is a wasteful number, since it uses less digits than its factorization.

81461400327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017088910 (or 3017088904 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 81461400327 in words is "eighty-one billion, four hundred sixty-one million, four hundred thousand, three hundred twenty-seven".