5144624765264 has 90 divisors (see below), whose sum is σ = 10696596575454. Its totient is φ = 2396307379200.

The previous prime is 5144624765261. The next prime is 5144624765359. The reversal of 5144624765264 is 4625674264415.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3553948876864 + 1590675888400 = 1885192^2 + 1261220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144624765261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1550050997 + ... + 1550054315.

Almost surely, 2^{5144624765264} 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 5144624765264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348298287727).

5144624765264 is an abundant number, since it is smaller than the sum of its proper divisors (5551971810190).

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

5144624765264 is an equidigital number, since it uses as much as digits as its factorization.

5144624765264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 3439 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 56.

The spelling of 5144624765264 in words is "five trillion, one hundred forty-four billion, six hundred twenty-four million, seven hundred sixty-five thousand, two hundred sixty-four".