378841481001 has 15 divisors (see below), whose sum is σ = 565931969031. Its totient is φ = 252557294328.

The previous prime is 378841480981. The next prime is 378841481033. The reversal of 378841481001 is 100184148873.

The square root of 378841481001 is 615501.

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

378841481001 is digitally balanced in base 4, 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., 307968392601 + 70873088400 = 554949^2 + 266220^2 .

It is not a de Polignac number, because 378841481001 - 2⁷ = 378841480873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378841481071) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5505315 + ... + 5573703.

Almost surely, 2^378841481001 is an apocalyptic number.

378841481001 is the 615501-st square number.

378841481001 is the 307751-st centered octagonal number.

It is an amenable number.

378841481001 is a deficient number, since it is larger than the sum of its proper divisors (187090488030).

378841481001 is an frugal number, since it uses more digits than its factorization.

378841481001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136790 (or 68392 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 378841481001 in words is "three hundred seventy-eight billion, eight hundred forty-one million, four hundred eighty-one thousand, one".