27378543467401 has 9 divisors (see below), whose sum is σ = 31848552354951. Its totient is φ = 23467291577352.

The previous prime is 27378543467393. The next prime is 27378543467423. The reversal of 27378543467401 is 10476434587372.

The square root of 27378543467401 is 5232451.

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., 657129103225 + 26721414364176 = 810635^2 + 5169276^2 .

It is not a de Polignac number, because 27378543467401 - 2³ = 27378543467393 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 27378543467401.

It is not an unprimeable number, because it can be changed into a prime (27378543467441) 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, 36253411 + ... + 37000903.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728039439).

Almost surely, 2^{27378543467401} is an apocalyptic number.

27378543467401 is the 5232451-st square number.

27378543467401 is the 2616226-th centered octagonal number.

It is an amenable number.

27378543467401 is a deficient number, since it is larger than the sum of its proper divisors (4470008887550).

27378543467401 is an frugal number, since it uses more digits than its factorization.

27378543467401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495000 (or 747500 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 61.

The spelling of 27378543467401 in words is "twenty-seven trillion, three hundred seventy-eight billion, five hundred forty-three million, four hundred sixty-seven thousand, four hundred one".