71201450896 has 45 divisors (see below), whose sum is σ = 145637106363. Its totient is φ = 33717396960.

The previous prime is 71201450867. The next prime is 71201450899. The reversal of 71201450896 is 69805410217.

The square root of 71201450896 is 266836.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71201450899) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20277781 + ... + 20281291.

Almost surely, 2^71201450896 is an apocalyptic number.

71201450896 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

71201450896 is the 266836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71201450896

71201450896 is an abundant number, since it is smaller than the sum of its proper divisors (74435655467).

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

71201450896 is an frugal number, since it uses more digits than its factorization.

71201450896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 71201450896 in words is "seventy-one billion, two hundred one million, four hundred fifty thousand, eight hundred ninety-six".