1432279068345 has 48 divisors (see below), whose sum is σ = 2540315915280. Its totient is φ = 746252402688.

The previous prime is 1432279068329. The next prime is 1432279068371. The reversal of 1432279068345 is 5438609722341.

1432279068345 is a `hidden beast` number, since 1 + 432 + 2 + 7 + 90 + 6 + 83 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12204062784 + 1420075005561 = 110472^2 + 1191669^2 .

It is not a de Polignac number, because 1432279068345 - 2⁴ = 1432279068329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1432279068291 and 1432279068300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733000 + ... + 1844409.

It is an arithmetic number, because the mean of its divisors is an integer number (52923248235).

It is a 1-persistent number, because it is pandigital, but 2⋅1432279068345 = 2864558136690 is not.

Almost surely, 2^{1432279068345} is an apocalyptic number.

1432279068345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1432279068345 is a deficient number, since it is larger than the sum of its proper divisors (1108036846935).

1432279068345 is a wasteful number, since it uses less digits than its factorization.

1432279068345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577706 (or 2577703 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1432279068345 in words is "one trillion, four hundred thirty-two billion, two hundred seventy-nine million, sixty-eight thousand, three hundred forty-five".