452151666151254 has 128 divisors (see below), whose sum is σ = 1029127433241600. Its totient is φ = 147110048225280.

The previous prime is 452151666151223. The next prime is 452151666151267.

452151666151254 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×452151666151254² (a number of 30 digits) contains 22 as substring.

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 452151666151254.

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, 508147089 + ... + 509036115.

It is an arithmetic number, because the mean of its divisors is an integer number (8040058072200).

Almost surely, 2^{452151666151254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452151666151254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514563716620800).

452151666151254 is an abundant number, since it is smaller than the sum of its proper divisors (576975767090346).

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

452151666151254 is a wasteful number, since it uses less digits than its factorization.

452151666151254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890435 (or 890429 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 452151666151254 in words is "four hundred fifty-two trillion, one hundred fifty-one billion, six hundred sixty-six million, one hundred fifty-one thousand, two hundred fifty-four".