5006746355776 has 189 divisors, whose sum is σ = 11178536617101. Its totient is φ = 2223255513600.

The previous prime is 5006746355753. The next prime is 5006746355777. The reversal of 5006746355776 is 6775536476005.

The square root of 5006746355776 is 2237576.

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

It can be written as a sum of positive squares in only one way, i.e., 1989160461376 + 3017585894400 = 1410376^2 + 1737120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5006746355777) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9254614066 + ... + 9254614606.

Almost surely, 2^{5006746355776} is an apocalyptic number.

5006746355776 is the 2237576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006746355776

5006746355776 is an abundant number, since it is smaller than the sum of its proper divisors (6171790261325).

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

5006746355776 is an frugal number, since it uses more digits than its factorization.

5006746355776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 61.

The spelling of 5006746355776 in words is "five trillion, six billion, seven hundred forty-six million, three hundred fifty-five thousand, seven hundred seventy-six".