71947691448 has 128 divisors (see below), whose sum is σ = 193028209920. Its totient is φ = 22267054080.

The previous prime is 71947691441. The next prime is 71947691471. The reversal of 71947691448 is 84419674917.

It is a super-2 number, since 2×71947691448² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71947691391 and 71947691400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71947691441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33761343 + ... + 33763473.

It is an arithmetic number, because the mean of its divisors is an integer number (1508032890).

Almost surely, 2^71947691448 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 71947691448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96514104960).

71947691448 is an abundant number, since it is smaller than the sum of its proper divisors (121080518472).

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

71947691448 is a wasteful number, since it uses less digits than its factorization.

71947691448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3233 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The spelling of 71947691448 in words is "seventy-one billion, nine hundred forty-seven million, six hundred ninety-one thousand, four hundred forty-eight".