451643506343260 has 384 divisors, whose sum is σ = 1215105392793600. Its totient is φ = 136916845793280.

The previous prime is 451643506343219. The next prime is 451643506343269. The reversal of 451643506343260 is 62343605346154.

It is a junction number, because it is equal to n+sod(n) for n = 451643506343198 and 451643506343207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451643506343269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42555681714 + ... + 42555692326.

It is an arithmetic number, because the mean of its divisors is an integer number (3164336960400).

Almost surely, 2^{451643506343260} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451643506343260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607552696396800).

451643506343260 is an abundant number, since it is smaller than the sum of its proper divisors (763461886450340).

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

451643506343260 is a wasteful number, since it uses less digits than its factorization.

451643506343260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341 (or 13339 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 52.

The spelling of 451643506343260 in words is "four hundred fifty-one trillion, six hundred forty-three billion, five hundred six million, three hundred forty-three thousand, two hundred sixty".