5906338647616 has 63 divisors (see below), whose sum is σ = 12883210051537. Its totient is φ = 2684602173440.

The previous prime is 5906338647613. The next prime is 5906338647653. The reversal of 5906338647616 is 6167468336095.

The square root of 5906338647616 is 2430296.

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., 3848961600 + 5902489686016 = 62040^2 + 2429504^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5906338647613) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213852240 + ... + 213879856.

Almost surely, 2^{5906338647616} is an apocalyptic number.

5906338647616 is the 2430296-th square number.

It is an amenable number.

5906338647616 is an abundant number, since it is smaller than the sum of its proper divisors (6976871403921).

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

5906338647616 is an frugal number, since it uses more digits than its factorization.

5906338647616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55268 (or 27630 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 64.

Multiplying 5906338647616 by its sum of digits (64), we get a square (378005673447424 = 19442368²).

5906338647616 divided by its sum of digits (64) gives a square (92286541369 = 303787²).

The spelling of 5906338647616 in words is "five trillion, nine hundred six billion, three hundred thirty-eight million, six hundred forty-seven thousand, six hundred sixteen".