7131654816 has 288 divisors, whose sum is σ = 22466445120. Its totient is φ = 1967370240.

The previous prime is 7131654797. The next prime is 7131654833. The reversal of 7131654816 is 6184561317.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12533380 + ... + 12533948.

It is an arithmetic number, because the mean of its divisors is an integer number (78008490).

Almost surely, 2^7131654816 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 7131654816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233222560).

7131654816 is an abundant number, since it is smaller than the sum of its proper divisors (15334790304).

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

7131654816 is a wasteful number, since it uses less digits than its factorization.

7131654816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 681 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 7131654816 is about 84449.1256082619. The cubic root of 7131654816 is about 1924.8494685011.

The spelling of 7131654816 in words is "seven billion, one hundred thirty-one million, six hundred fifty-four thousand, eight hundred sixteen".