10738394748601 has 27 divisors (see below), whose sum is σ = 12273099633711. Its totient is φ = 9389953173744.

The previous prime is 10738394748541. The next prime is 10738394748647. The reversal of 10738394748601 is 10684749383701.

The square root of 10738394748601 is 3276949.

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., 1588519933225 + 9149874815376 = 1260365^2 + 3024876^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10738394748601 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10738394748601.

It is not an unprimeable number, because it can be changed into a prime (10738394748401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 809399770 + ... + 809413036.

It is an arithmetic number, because the mean of its divisors is an integer number (454559245693).

Almost surely, 2^{10738394748601} is an apocalyptic number.

10738394748601 is the 3276949-th square number.

10738394748601 is the 1638475-th centered octagonal number.

It is an amenable number.

10738394748601 is a deficient number, since it is larger than the sum of its proper divisors (1534704885110).

10738394748601 is an frugal number, since it uses more digits than its factorization.

10738394748601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26598 (or 13299 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 10738394748601 in words is "ten trillion, seven hundred thirty-eight billion, three hundred ninety-four million, seven hundred forty-eight thousand, six hundred one".