81144438048 has 72 divisors (see below), whose sum is σ = 230783611968. Its totient is φ = 27044733312.

The previous prime is 81144438013. The next prime is 81144438061. The reversal of 81144438048 is 84083444118.

81144438048 is a `hidden beast` number, since 81 + 14 + 443 + 80 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×81144438048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81144437994 and 81144438012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3423165 + ... + 3446787.

It is an arithmetic number, because the mean of its divisors is an integer number (3205327944).

Almost surely, 2^81144438048 is an apocalyptic number.

It is an amenable number.

81144438048 is an abundant number, since it is smaller than the sum of its proper divisors (149639173920).

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

81144438048 is a wasteful number, since it uses less digits than its factorization.

81144438048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35566 (or 35555 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 81144438048 in words is "eighty-one billion, one hundred forty-four million, four hundred thirty-eight thousand, forty-eight".