1348964401 has 8 divisors (see below), whose sum is σ = 1353937608. Its totient is φ = 1344000000.

The previous prime is 1348964387. The next prime is 1348964423. The reversal of 1348964401 is 1044698431.

It can be written as a sum of positive squares in 4 ways, for example, as 174874176 + 1174090225 = 13224^2 + 34265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(1348964401) divides (1348964401-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 1348964401 - 2⁷ = 1348964273 is a prime.

It is a deceptive number, since it divides R_1348964400.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1348967401) by changing a digit.

It is a Zeisel number, with parameters (2, 399).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480201 + ... + 483001.

It is an arithmetic number, because the mean of its divisors is an integer number (169242201).

It is a Poulet number, since it divides 2^1348964400-1.

Almost surely, 2^1348964401 is an apocalyptic number.

It is an amenable number.

1348964401 is a deficient number, since it is larger than the sum of its proper divisors (4973207).

1348964401 is a wasteful number, since it uses less digits than its factorization.

1348964401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403.

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1348964401 is about 36728.2507206646. The cubic root of 1348964401 is about 1104.9267714213.

It can be divided in two parts, 1348964 and 401, that multiplied together give a square (540934564 = 23258²).

The spelling of 1348964401 in words is "one billion, three hundred forty-eight million, nine hundred sixty-four thousand, four hundred one".