2926148938801 has 9 divisors (see below), whose sum is σ = 3216366210603. Its totient is φ = 2660118292920.

The previous prime is 2926148938799. The next prime is 2926148938813. The reversal of 2926148938801 is 1088398416292.

The square root of 2926148938801 is 1710599.

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., 1913106688801 + 1013042250000 = 1383151^2 + 1006500^2 .

It is not a de Polignac number, because 2926148938801 - 2¹ = 2926148938799 is a prime.

It is a super-2 number, since 2×2926148938801² (a number of 26 digits) contains 22 as substring.

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 2926148938801.

It is not an unprimeable number, because it can be changed into a prime (2926148938841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18738835 + ... + 18894343.

Almost surely, 2^{2926148938801} is an apocalyptic number.

2926148938801 is the 1710599-th square number.

2926148938801 is the 855300-th centered octagonal number.

It is an amenable number.

2926148938801 is a deficient number, since it is larger than the sum of its proper divisors (290217271802).

2926148938801 is an frugal number, since it uses more digits than its factorization.

2926148938801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311040 (or 155520 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 61.

The spelling of 2926148938801 in words is "two trillion, nine hundred twenty-six billion, one hundred forty-eight million, nine hundred thirty-eight thousand, eight hundred one".