30626661266496 has 147 divisors (see below), whose sum is σ = 91124044378293. Its totient is φ = 10208488631040.

The previous prime is 30626661266491. The next prime is 30626661266521. The reversal of 30626661266496 is 69466216662603.

It is a happy number.

The square root of 30626661266496 is 5534136.

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., 5471220396096 + 25155440870400 = 2339064^2 + 5015520^2 .

It is not an unprimeable number, because it can be changed into a prime (30626661266491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1195360566 + ... + 1195386186.

Almost surely, 2^{30626661266496} is an apocalyptic number.

30626661266496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30626661266496 is the 5534136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30626661266496

30626661266496 is an abundant number, since it is smaller than the sum of its proper divisors (60497383111797).

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

30626661266496 is an frugal number, since it uses more digits than its factorization.

30626661266496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51272 (or 25626 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 63.

The spelling of 30626661266496 in words is "thirty trillion, six hundred twenty-six billion, six hundred sixty-one million, two hundred sixty-six thousand, four hundred ninety-six".