81954649510672 has 40 divisors (see below), whose sum is σ = 163910317774592. Its totient is φ = 39655229097600.

The previous prime is 81954649510639. The next prime is 81954649510687. The reversal of 81954649510672 is 27601594645918.

81954649510672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×81954649510672³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81954649510598 and 81954649510607.

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 7 ways as a sum of consecutive naturals, for example, 98657923 + ... + 99485149.

Almost surely, 2^{81954649510672} is an apocalyptic number.

It is an amenable number.

81954649510672 is an abundant number, since it is smaller than the sum of its proper divisors (81955668263920).

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

81954649510672 is a wasteful number, since it uses less digits than its factorization.

81954649510672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027007 (or 1027001 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 81954649510672 in words is "eighty-one trillion, nine hundred fifty-four billion, six hundred forty-nine million, five hundred ten thousand, six hundred seventy-two".