71397449367552 has 3072 divisors, whose sum is σ = 286238559559680. Its totient is φ = 17237488435200.

The previous prime is 71397449367547. The next prime is 71397449367571. The reversal of 71397449367552 is 25576394479317.

71397449367552 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 7 + 4 + 4 + 9 + 3 + 67 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 860210233303 + ... + 860210233385.

It is an arithmetic number, because the mean of its divisors is an integer number (93176614440).

Almost surely, 2^{71397449367552} is an apocalyptic number.

71397449367552 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 71397449367552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143119279779840).

71397449367552 is an abundant number, since it is smaller than the sum of its proper divisors (214841110192128).

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

71397449367552 is an equidigital number, since it uses as much as digits as its factorization.

71397449367552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 190 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 71397449367552 in words is "seventy-one trillion, three hundred ninety-seven billion, four hundred forty-nine million, three hundred sixty-seven thousand, five hundred fifty-two".