1408148361 has 32 divisors (see below), whose sum is σ = 2138901120. Its totient is φ = 915250752.

The previous prime is 1408148353. The next prime is 1408148381. The reversal of 1408148361 is 1638418041.

It is a happy number.

1408148361 is a `hidden beast` number, since 1 + 40 + 81 + 483 + 61 = 666.

It is not a de Polignac number, because 1408148361 - 2³ = 1408148353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1408148351) 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 31 ways as a sum of consecutive naturals, for example, 230235 + ... + 236271.

It is an arithmetic number, because the mean of its divisors is an integer number (66840660).

Almost surely, 2^1408148361 is an apocalyptic number.

It is an amenable number.

1408148361 is a deficient number, since it is larger than the sum of its proper divisors (730752759).

1408148361 is a wasteful number, since it uses less digits than its factorization.

1408148361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1408148361 is about 37525.3029434807. The cubic root of 1408148361 is about 1120.8550976747.

It can be divided in two parts, 1408 and 148361, that added together give a square (149769 = 387²).

The spelling of 1408148361 in words is "one billion, four hundred eight million, one hundred forty-eight thousand, three hundred sixty-one".