452135374620864 has 448 divisors, whose sum is σ = 1420939717017600. Its totient is φ = 125354445004800.

The previous prime is 452135374620847. The next prime is 452135374620901. The reversal of 452135374620864 is 468026473531254.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 452135374620798 and 452135374620807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605439252 + ... + 606185580.

Almost surely, 2^{452135374620864} is an apocalyptic number.

452135374620864 is a gapful number since it is divisible by the number (44) 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 452135374620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710469858508800).

452135374620864 is an abundant number, since it is smaller than the sum of its proper divisors (968804342396736).

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

452135374620864 is a wasteful number, since it uses less digits than its factorization.

452135374620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746892 (or 746882 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 60.

The spelling of 452135374620864 in words is "four hundred fifty-two trillion, one hundred thirty-five billion, three hundred seventy-four million, six hundred twenty thousand, eight hundred sixty-four".