71138440681632 has 72 divisors (see below), whose sum is σ = 212947306004160. Its totient is φ = 22464770739840.

The previous prime is 71138440681621. The next prime is 71138440681663. The reversal of 71138440681632 is 23618604483117.

71138440681632 is a `hidden beast` number, since 7 + 1 + 1 + 38 + 440 + 6 + 8 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×71138440681632² (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 11 ways as a sum of consecutive naturals, for example, 6500217544 + ... + 6500228487.

It is an arithmetic number, because the mean of its divisors is an integer number (2957601472280).

Almost surely, 2^{71138440681632} is an apocalyptic number.

71138440681632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

71138440681632 is an abundant number, since it is smaller than the sum of its proper divisors (141808865322528).

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

71138440681632 is a wasteful number, since it uses less digits than its factorization.

71138440681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13000446066 (or 13000446055 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 71138440681632 in words is "seventy-one trillion, one hundred thirty-eight billion, four hundred forty million, six hundred eighty-one thousand, six hundred thirty-two".