1398161664 has 243 divisors, whose sum is σ = 4360883709. Its totient is φ = 430755840.

The previous prime is 1398161621. The next prime is 1398161701. The reversal of 1398161664 is 4661618931.

The square root of 1398161664 is 37392.

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., 67371264 + 1330790400 = 8208^2 + 36480^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34101484 + ... + 34101524.

Almost surely, 2^1398161664 is an apocalyptic number.

1398161664 is the 37392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398161664

1398161664 is an abundant number, since it is smaller than the sum of its proper divisors (2962722045).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1398161664 is an equidigital number, since it uses as much as digits as its factorization.

1398161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 65 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The cubic root of 1398161664 is about 1118.1990785214.

Multiplying 1398161664 by its product of digits (186624), we get a square (260930522382336 = 16153344²).

The spelling of 1398161664 in words is "one billion, three hundred ninety-eight million, one hundred sixty-one thousand, six hundred sixty-four".