81734162196096 has 320 divisors, whose sum is σ = 257587056175680. Its totient is φ = 25638176858112.

The previous prime is 81734162195981. The next prime is 81734162196109. The reversal of 81734162196096 is 69069126143718.

81734162196096 is a `hidden beast` number, since 8 + 1 + 7 + 3 + 4 + 1 + 6 + 2 + 19 + 609 + 6 = 666.

It is a super-3 number, since 3×81734162196096³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1287870861 + ... + 1287934323.

It is an arithmetic number, because the mean of its divisors is an integer number (804959550549).

Almost surely, 2^{81734162196096} 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 81734162196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128793528087840).

81734162196096 is an abundant number, since it is smaller than the sum of its proper divisors (175852893979584).

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

81734162196096 is a wasteful number, since it uses less digits than its factorization.

81734162196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70813 (or 70792 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 81734162196096 in words is "eighty-one trillion, seven hundred thirty-four billion, one hundred sixty-two million, one hundred ninety-six thousand, ninety-six".