378629778241 has 45 divisors (see below), whose sum is σ = 452226508629. Its totient is φ = 316771369200.

The previous prime is 378629778217. The next prime is 378629778257. The reversal of 378629778241 is 142877926873.

The square root of 378629778241 is 615329.

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

It can be written as a sum of positive squares in 2 ways, for example, as 187730691841 + 190899086400 = 433279^2 + 436920^2 .

It is not a de Polignac number, because 378629778241 - 2¹¹ = 378629776193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (378629778341) 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 44 ways as a sum of consecutive naturals, for example, 1143896446 + ... + 1143896776.

Almost surely, 2^378629778241 is an apocalyptic number.

378629778241 is the 615329-th square number.

378629778241 is the 307665-th centered octagonal number.

It is an amenable number.

378629778241 is a deficient number, since it is larger than the sum of its proper divisors (73596730388).

378629778241 is an frugal number, since it uses more digits than its factorization.

378629778241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 355 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 64.

Multiplying 378629778241 by its sum of digits (64), we get a square (24232305807424 = 4922632²).

The spelling of 378629778241 in words is "three hundred seventy-eight billion, six hundred twenty-nine million, seven hundred seventy-eight thousand, two hundred forty-one".