455142032135046 has 96 divisors (see below), whose sum is σ = 1042940645510400. Its totient is φ = 148711443645024.

The previous prime is 455142032135041. The next prime is 455142032135051. The reversal of 455142032135046 is 640531230241554.

455142032135046 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 420 + 3 + 213 + 5 + 0 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (455142032135041) and next prime (455142032135051).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 455142032134992 and 455142032135010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455142032135041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19069405 + ... + 35692103.

It is an arithmetic number, because the mean of its divisors is an integer number (10863965057400).

Almost surely, 2^{455142032135046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455142032135046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521470322755200).

455142032135046 is an abundant number, since it is smaller than the sum of its proper divisors (587798613375354).

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

455142032135046 is a wasteful number, since it uses less digits than its factorization.

455142032135046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16623832 (or 16623820 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 455142032135046 in words is "four hundred fifty-five trillion, one hundred forty-two billion, thirty-two million, one hundred thirty-five thousand, forty-six".