71683428664848 has 1440 divisors, whose sum is σ = 273722827284480. Its totient is φ = 15756141772800.

The previous prime is 71683428664819. The next prime is 71683428664931. The reversal of 71683428664848 is 84846682438617.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71683428664848.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4046930040 + ... + 4046947752.

Almost surely, 2^{71683428664848} is an apocalyptic number.

71683428664848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71683428664848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136861413642240).

71683428664848 is an abundant number, since it is smaller than the sum of its proper divisors (202039398619632).

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

71683428664848 is a wasteful number, since it uses less digits than its factorization.

71683428664848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17829 (or 17799 counting only the distinct ones).

The product of its digits is 2378170368, while the sum is 75.

The spelling of 71683428664848 in words is "seventy-one trillion, six hundred eighty-three billion, four hundred twenty-eight million, six hundred sixty-four thousand, eight hundred forty-eight".