71848808165376 has 832 divisors, whose sum is σ = 235192153996800. Its totient is φ = 21494307225600.

The previous prime is 71848808165359. The next prime is 71848808165377. The reversal of 71848808165376 is 67356180884817.

It is a happy number.

71848808165376 is a `hidden beast` number, since 7 + 1 + 8 + 4 + 8 + 8 + 0 + 81 + 6 + 537 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (71848808165377) 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, 43890535630 + ... + 43890537266.

It is an arithmetic number, because the mean of its divisors is an integer number (282682877400).

Almost surely, 2^{71848808165376} 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 71848808165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117596076998400).

71848808165376 is an abundant number, since it is smaller than the sum of its proper divisors (163343345831424).

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

71848808165376 is a wasteful number, since it uses less digits than its factorization.

71848808165376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 71848808165376 in words is "seventy-one trillion, eight hundred forty-eight billion, eight hundred eight million, one hundred sixty-five thousand, three hundred seventy-six".