81446461131 has 64 divisors (see below), whose sum is σ = 132603264000. Its totient is φ = 43430639616.

The previous prime is 81446461081. The next prime is 81446461171. The reversal of 81446461131 is 13116464418.

It is not a de Polignac number, because 81446461131 - 2¹³ = 81446452939 is a prime.

It is a super-2 number, since 2×81446461131² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81446461131.

It is not an unprimeable number, because it can be changed into a prime (81446461171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31951045 + ... + 31953593.

It is an arithmetic number, because the mean of its divisors is an integer number (2071926000).

Almost surely, 2^81446461131 is an apocalyptic number.

81446461131 is a deficient number, since it is larger than the sum of its proper divisors (51156802869).

81446461131 is a wasteful number, since it uses less digits than its factorization.

81446461131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748.

The product of its digits is 55296, while the sum is 39.

The spelling of 81446461131 in words is "eighty-one billion, four hundred forty-six million, four hundred sixty-one thousand, one hundred thirty-one".