1306431201456 has 60 divisors (see below), whose sum is σ = 3669392240592. Its totient is φ = 433904934528.

The previous prime is 1306431201437. The next prime is 1306431201469. The reversal of 1306431201456 is 6541021346031.

1306431201456 is a `hidden beast` number, since 1 + 3 + 0 + 643 + 1 + 2 + 0 + 1 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1306431201456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16336356 + ... + 16416131.

Almost surely, 2^{1306431201456} is an apocalyptic number.

1306431201456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1306431201456 is an abundant number, since it is smaller than the sum of its proper divisors (2362961039136).

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

1306431201456 is a wasteful number, since it uses less digits than its factorization.

1306431201456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32752778 (or 32752769 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1306431201456 its reverse (6541021346031), we get a palindrome (7847452547487).

The spelling of 1306431201456 in words is "one trillion, three hundred six billion, four hundred thirty-one million, two hundred one thousand, four hundred fifty-six".