81746043264 has 128 divisors (see below), whose sum is σ = 243165388800. Its totient is φ = 27033979392.

The previous prime is 81746043241. The next prime is 81746043271. The reversal of 81746043264 is 46234064718.

81746043264 is a `hidden beast` number, since 8 + 1 + 7 + 4 + 604 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345789 + ... + 532035.

It is an arithmetic number, because the mean of its divisors is an integer number (1899729600).

Almost surely, 2^81746043264 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 81746043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121582694400).

81746043264 is an abundant number, since it is smaller than the sum of its proper divisors (161419345536).

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

81746043264 is a wasteful number, since it uses less digits than its factorization.

81746043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186397 (or 186379 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 81746043264 in words is "eighty-one billion, seven hundred forty-six million, forty-three thousand, two hundred sixty-four".