71406618125544 has 384 divisors, whose sum is σ = 213869388096000. Its totient is φ = 21385838149632.

The previous prime is 71406618125533. The next prime is 71406618125573. The reversal of 71406618125544 is 44552181660417.

71406618125544 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 6 + 6 + 1 + 81 + 2 + 554 + 4 = 666.

It is a super-2 number, since 2×71406618125544² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10675227352 + ... + 10675234040.

It is an arithmetic number, because the mean of its divisors is an integer number (556951531500).

Almost surely, 2^{71406618125544} 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 71406618125544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106934694048000).

71406618125544 is an abundant number, since it is smaller than the sum of its proper divisors (142462769970456).

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

71406618125544 is a wasteful number, since it uses less digits than its factorization.

71406618125544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 8050 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 71406618125544 in words is "seventy-one trillion, four hundred six billion, six hundred eighteen million, one hundred twenty-five thousand, five hundred forty-four".