81034965648 has 1280 divisors, whose sum is σ = 323979264000. Its totient is φ = 18787811328.

The previous prime is 81034965593. The next prime is 81034965673. The reversal of 81034965648 is 84656943018.

81034965648 is a `hidden beast` number, since 8 + 103 + 496 + 5 + 6 + 48 = 666.

It is a super-3 number, since 3×81034965648³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 81034965594 and 81034965603.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 910505188 + ... + 910505276.

It is an arithmetic number, because the mean of its divisors is an integer number (253108800).

Almost surely, 2^81034965648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81034965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632000).

81034965648 is an abundant number, since it is smaller than the sum of its proper divisors (242944298352).

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

81034965648 is a wasteful number, since it uses less digits than its factorization.

81034965648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 81034965648 in words is "eighty-one billion, thirty-four million, nine hundred sixty-five thousand, six hundred forty-eight".