45241266214254 has 192 divisors, whose sum is σ = 101813711892480. Its totient is φ = 13288096512000.

The previous prime is 45241266214241. The next prime is 45241266214267.

45241266214254 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (45241266214241) and next prime (45241266214267).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6733329907 + ... + 6733336625.

It is an arithmetic number, because the mean of its divisors is an integer number (530279749440).

Almost surely, 2^{45241266214254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45241266214254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50906855946240).

45241266214254 is an abundant number, since it is smaller than the sum of its proper divisors (56572445678226).

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

45241266214254 is a wasteful number, since it uses less digits than its factorization.

45241266214254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7046 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

It can be divided in two parts, 452412 and 66214254, that added together give a palindrome (66666666).

The spelling of 45241266214254 in words is "forty-five trillion, two hundred forty-one billion, two hundred sixty-six million, two hundred fourteen thousand, two hundred fifty-four".