456111401407 has 8 divisors (see below), whose sum is σ = 468898843392. Its totient is φ = 443403139200.

The previous prime is 456111401393. The next prime is 456111401443. The reversal of 456111401407 is 704104111654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456111401407 - 2¹⁵ = 456111368639 is a prime.

It is a super-2 number, since 2×456111401407² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456111411407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19783263 + ... + 19806304.

It is an arithmetic number, because the mean of its divisors is an integer number (58612355424).

Almost surely, 2^456111401407 is an apocalyptic number.

456111401407 is a deficient number, since it is larger than the sum of its proper divisors (12787441985).

456111401407 is a wasteful number, since it uses less digits than its factorization.

456111401407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39589889.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 456111401407 in words is "four hundred fifty-six billion, one hundred eleven million, four hundred one thousand, four hundred seven".