6488141401 has 27 divisors (see below), whose sum is σ = 7781949567. Its totient is φ = 5393561040.

The previous prime is 6488141393. The next prime is 6488141447. The reversal of 6488141401 is 1041418846.

The square root of 6488141401 is 80549.

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., 5805678025 + 682463376 = 76195^2 + 26124^2 .

It is not a de Polignac number, because 6488141401 - 2³ = 6488141393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (6488141501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20862036 + ... + 20862346.

Almost surely, 2^6488141401 is an apocalyptic number.

6488141401 is the 80549-th square number.

6488141401 is the 40275-th centered octagonal number.

It is an amenable number.

6488141401 is a deficient number, since it is larger than the sum of its proper divisors (1293808166).

6488141401 is an frugal number, since it uses more digits than its factorization.

6488141401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The cubic root of 6488141401 is about 1865.1199553882.

The spelling of 6488141401 in words is "six billion, four hundred eighty-eight million, one hundred forty-one thousand, four hundred one".