6329244608401 has 81 divisors (see below), whose sum is σ = 7669685454291. Its totient is φ = 5216760806400.

The previous prime is 6329244608399. The next prime is 6329244608411. The reversal of 6329244608401 is 1048064429236.

The square root of 6329244608401 is 2515799.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3534396240001 + 2794848368400 = 1879999^2 + 1671780^2 .

It is not a de Polignac number, because 6329244608401 - 2¹ = 6329244608399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6329244608411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26262425641 + ... + 26262425881.

Almost surely, 2^{6329244608401} is an apocalyptic number.

6329244608401 is the 2515799-th square number.

6329244608401 is the 1257900-th centered octagonal number.

It is an amenable number.

6329244608401 is a deficient number, since it is larger than the sum of its proper divisors (1340440845890).

6329244608401 is an equidigital number, since it uses as much as digits as its factorization.

6329244608401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 6329244608401 by its sum of digits (49), we get a square (310132985811649 = 17610593²).

The spelling of 6329244608401 in words is "six trillion, three hundred twenty-nine billion, two hundred forty-four million, six hundred eight thousand, four hundred one".