1456006406372 has 24 divisors (see below), whose sum is σ = 3038622066816. Its totient is φ = 596872191168.

The previous prime is 1456006406363. The next prime is 1456006406419. The reversal of 1456006406372 is 2736046006541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130439113 + ... + 1130440400.

It is an arithmetic number, because the mean of its divisors is an integer number (126609252784).

Almost surely, 2^{1456006406372} is an apocalyptic number.

It is an amenable number.

1456006406372 is an abundant number, since it is smaller than the sum of its proper divisors (1582615660444).

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

1456006406372 is a wasteful number, since it uses less digits than its factorization.

1456006406372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260879547 (or 2260879545 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 1456006406372 in words is "one trillion, four hundred fifty-six billion, six million, four hundred six thousand, three hundred seventy-two".