1398407946849 has 81 divisors (see below), whose sum is σ = 2111989734387. Its totient is φ = 891618501312.

The previous prime is 1398407946827. The next prime is 1398407946857. The reversal of 1398407946849 is 9486497048931.

The square root of 1398407946849 is 1182543.

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

1398407946849 is a `hidden beast` number, since 1 + 3 + 98 + 4 + 0 + 79 + 468 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268523985249 + 1129883961600 = 518193^2 + 1062960^2 .

It is not a de Polignac number, because 1398407946849 - 2¹⁵ = 1398407914081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1398407946889) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13576776132 + ... + 13576776234.

Almost surely, 2^{1398407946849} is an apocalyptic number.

1398407946849 is the 1182543-rd square number.

1398407946849 is the 591272-nd centered octagonal number.

It is an amenable number.

1398407946849 is a deficient number, since it is larger than the sum of its proper divisors (713581787538).

1398407946849 is an frugal number, since it uses more digits than its factorization.

1398407946849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 1398407946849 in words is "one trillion, three hundred ninety-eight billion, four hundred seven million, nine hundred forty-six thousand, eight hundred forty-nine".