81046834416 has 320 divisors, whose sum is σ = 260726169600. Its totient is φ = 23954227200.

The previous prime is 81046834411. The next prime is 81046834439. The reversal of 81046834416 is 61443864018.

It is a super-2 number, since 2×81046834416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81046834411) 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, 26649856 + ... + 26652896.

It is an arithmetic number, because the mean of its divisors is an integer number (814769280).

Almost surely, 2^81046834416 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 81046834416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130363084800).

81046834416 is an abundant number, since it is smaller than the sum of its proper divisors (179679335184).

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

81046834416 is a wasteful number, since it uses less digits than its factorization.

81046834416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 81046834416 in words is "eighty-one billion, forty-six million, eight hundred thirty-four thousand, four hundred sixteen".