456142212642201 has 8 divisors (see below), whose sum is σ = 617267073824544. Its totient is φ = 299556079944000.

The previous prime is 456142212642197. The next prime is 456142212642241. The reversal of 456142212642201 is 102246212241654.

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

It is not a de Polignac number, because 456142212642201 - 2² = 456142212642197 is a prime.

It is a super-2 number, since 2×456142212642201² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456142212642241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134682120800 + ... + 1134682121201.

It is an arithmetic number, because the mean of its divisors is an integer number (77158384228068).

Almost surely, 2^{456142212642201} is an apocalyptic number.

It is an amenable number.

456142212642201 is a deficient number, since it is larger than the sum of its proper divisors (161124861182343).

456142212642201 is a wasteful number, since it uses less digits than its factorization.

456142212642201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269364242071.

The product of its (nonzero) digits is 368640, while the sum is 42.

Adding to 456142212642201 its reverse (102246212241654), we get a palindrome (558388424883855).

The spelling of 456142212642201 in words is "four hundred fifty-six trillion, one hundred forty-two billion, two hundred twelve million, six hundred forty-two thousand, two hundred one".