71413698384 has 240 divisors, whose sum is σ = 248819610240. Its totient is φ = 19516654080.

The previous prime is 71413698371. The next prime is 71413698403. The reversal of 71413698384 is 48389631417.

71413698384 is a `hidden beast` number, since 7 + 141 + 36 + 98 + 384 = 666.

It is a super-2 number, since 2×71413698384² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71413698384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413524 + ... + 560204.

It is an arithmetic number, because the mean of its divisors is an integer number (1036748376).

Almost surely, 2^71413698384 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 71413698384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124409805120).

71413698384 is an abundant number, since it is smaller than the sum of its proper divisors (177405911856).

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

71413698384 is a wasteful number, since it uses less digits than its factorization.

71413698384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146735 (or 146716 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 71413698384 in words is "seventy-one billion, four hundred thirteen million, six hundred ninety-eight thousand, three hundred eighty-four".