71461117746 has 48 divisors (see below), whose sum is σ = 160353086400. Its totient is φ = 22972902624.

The previous prime is 71461117729. The next prime is 71461117751. The reversal of 71461117746 is 64771116417.

71461117746 is a `hidden beast` number, since 7 + 1 + 461 + 117 + 74 + 6 = 666.

It is a super-2 number, since 2×71461117746² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385845 + ... + 540183.

It is an arithmetic number, because the mean of its divisors is an integer number (3340689300).

Almost surely, 2^71461117746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71461117746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80176543200).

71461117746 is an abundant number, since it is smaller than the sum of its proper divisors (88891968654).

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

71461117746 is a wasteful number, since it uses less digits than its factorization.

71461117746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155263 (or 155260 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 71461117746 in words is "seventy-one billion, four hundred sixty-one million, one hundred seventeen thousand, seven hundred forty-six".