455215554105312 has 576 divisors, whose sum is σ = 1649215027289088. Its totient is φ = 108061954560000.

The previous prime is 455215554105311. The next prime is 455215554105401. The reversal of 455215554105312 is 213501455512554.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455215554105311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64589737 + ... + 71290007.

It is an arithmetic number, because the mean of its divisors is an integer number (2863220533488).

Almost surely, 2^{455215554105312} is an apocalyptic number.

455215554105312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455215554105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824607513644544).

455215554105312 is an abundant number, since it is smaller than the sum of its proper divisors (1193999473183776).

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

455215554105312 is a wasteful number, since it uses less digits than its factorization.

455215554105312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700423 (or 6700408 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 48.

The spelling of 455215554105312 in words is "four hundred fifty-five trillion, two hundred fifteen billion, five hundred fifty-four million, one hundred five thousand, three hundred twelve".