452416424614254 has 128 divisors (see below), whose sum is σ = 1065685652352000. Its totient is φ = 141777789272064.

The previous prime is 452416424614111. The next prime is 452416424614267.

452416424614254 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 16 + 4 + 2 + 4 + 614 + 2 + 5 + 4 = 666.

452416424614254 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 452416424614254.

It is a congruent number.

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, 3335770687 + ... + 3335906309.

It is an arithmetic number, because the mean of its divisors is an integer number (8325669159000).

Almost surely, 2^{452416424614254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452416424614254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532842826176000).

452416424614254 is an abundant number, since it is smaller than the sum of its proper divisors (613269227737746).

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

452416424614254 is a wasteful number, since it uses less digits than its factorization.

452416424614254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139639 (or 139633 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 452416424614254 in words is "four hundred fifty-two trillion, four hundred sixteen billion, four hundred twenty-four million, six hundred fourteen thousand, two hundred fifty-four".