7231314816 has 384 divisors, whose sum is σ = 24280439040. Its totient is φ = 2043740160.

The previous prime is 7231314787. The next prime is 7231314821. The reversal of 7231314816 is 6184131327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7231314816² (a number of 21 digits) contains 22 as substring.

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

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, 12532320 + ... + 12532896.

It is an arithmetic number, because the mean of its divisors is an integer number (63230310).

Almost surely, 2^7231314816 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 7231314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140219520).

7231314816 is an abundant number, since it is smaller than the sum of its proper divisors (17049124224).

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

7231314816 is a wasteful number, since it uses less digits than its factorization.

7231314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 7231314816 is about 85037.1378634065. The cubic root of 7231314816 is about 1933.7741762309.

The spelling of 7231314816 in words is "seven billion, two hundred thirty-one million, three hundred fourteen thousand, eight hundred sixteen".