71714051136 has 1176 divisors, whose sum is σ = 283574215680. Its totient is φ = 17777055744.

The previous prime is 71714051131. The next prime is 71714051137. The reversal of 71714051136 is 63115041717.

It is a happy number.

71714051136 is a `hidden beast` number, since 7 + 1 + 71 + 40 + 511 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71714051136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71714051131) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 564677505 + ... + 564677631.

Almost surely, 2^71714051136 is an apocalyptic number.

71714051136 is a gapful number since it is divisible by the number (76) 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 71714051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787107840).

71714051136 is an abundant number, since it is smaller than the sum of its proper divisors (211860164544).

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

71714051136 is a wasteful number, since it uses less digits than its factorization.

71714051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 71714051136 in words is "seventy-one billion, seven hundred fourteen million, fifty-one thousand, one hundred thirty-six".