747738948961 has 9 divisors (see below), whose sum is σ = 753278153043. Its totient is φ = 742240200840.

The previous prime is 747738948959. The next prime is 747738948989. The reversal of 747738948961 is 169849837747.

The square root of 747738948961 is 864719.

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

747738948961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28804538961 + 718934410000 = 169719^2 + 847900^2 .

It is not a de Polignac number, because 747738948961 - 2¹ = 747738948959 is a prime.

It is a super-2 number, since 2×747738948961² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (747738948941) 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, 120192831 + ... + 120199051.

Almost surely, 2^747738948961 is an apocalyptic number.

747738948961 is the 864719-th square number.

747738948961 is the 432360-th centered octagonal number.

It is an amenable number.

747738948961 is a deficient number, since it is larger than the sum of its proper divisors (5539204082).

747738948961 is an frugal number, since it uses more digits than its factorization.

747738948961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 6360 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 73.

The spelling of 747738948961 in words is "seven hundred forty-seven billion, seven hundred thirty-eight million, nine hundred forty-eight thousand, nine hundred sixty-one".