456355214142 has 32 divisors (see below), whose sum is σ = 930167971200. Its totient is φ = 149219858208.

The previous prime is 456355214123. The next prime is 456355214153. The reversal of 456355214142 is 241412553654.

It is a super-3 number, since 3×456355214142³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456355214094 and 456355214103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214917 + ... + 1545552.

It is an arithmetic number, because the mean of its divisors is an integer number (29067749100).

Almost surely, 2^456355214142 is an apocalyptic number.

456355214142 is an abundant number, since it is smaller than the sum of its proper divisors (473812757058).

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

456355214142 is a wasteful number, since it uses less digits than its factorization.

456355214142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761000.

The product of its digits is 576000, while the sum is 42.

Adding to 456355214142 its reverse (241412553654), we get a palindrome (697767767796).

The spelling of 456355214142 in words is "four hundred fifty-six billion, three hundred fifty-five million, two hundred fourteen thousand, one hundred forty-two".