71896149468 has 288 divisors, whose sum is σ = 225544230912. Its totient is φ = 19007654400.

The previous prime is 71896149463. The next prime is 71896149487. The reversal of 71896149468 is 86494169817.

71896149468 is a `hidden beast` number, since 7 + 1 + 8 + 9 + 614 + 9 + 4 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71896149463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6857046 + ... + 6867522.

Almost surely, 2^71896149468 is an apocalyptic number.

71896149468 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 71896149468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112772115456).

71896149468 is an abundant number, since it is smaller than the sum of its proper divisors (153648081444).

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

71896149468 is a wasteful number, since it uses less digits than its factorization.

71896149468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10580 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 71896149468 in words is "seventy-one billion, eight hundred ninety-six million, one hundred forty-nine thousand, four hundred sixty-eight".