71084449152 has 160 divisors (see below), whose sum is σ = 220744568880. Its totient is φ = 22664530944.

The previous prime is 71084449147. The next prime is 71084449171. The reversal of 71084449152 is 25194448017.

71084449152 is a `hidden beast` number, since 7 + 108 + 4 + 4 + 491 + 52 = 666.

It is a super-2 number, since 2×71084449152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71084449098 and 71084449107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89418 + ... + 387510.

Almost surely, 2^71084449152 is an apocalyptic number.

71084449152 is a gapful number since it is divisible by the number (72) 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 71084449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110372284440).

71084449152 is an abundant number, since it is smaller than the sum of its proper divisors (149660119728).

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

71084449152 is a wasteful number, since it uses less digits than its factorization.

71084449152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298142 (or 298121 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 71084449152 in words is "seventy-one billion, eighty-four million, four hundred forty-nine thousand, one hundred fifty-two".