45202426725624 has 256 divisors, whose sum is σ = 132444813312000. Its totient is φ = 12590118266880.

The previous prime is 45202426725487. The next prime is 45202426725667. The reversal of 45202426725624 is 42652762420254.

It is a happy number.

It is a Cunningham number, because it is equal to 6723275²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564714997 + ... + 564795035.

It is an arithmetic number, because the mean of its divisors is an integer number (517362552000).

Almost surely, 2^{45202426725624} 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 45202426725624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66222406656000).

45202426725624 is an abundant number, since it is smaller than the sum of its proper divisors (87242386586376).

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

45202426725624 is a wasteful number, since it uses less digits than its factorization.

45202426725624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80658 (or 80654 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 51.

The spelling of 45202426725624 in words is "forty-five trillion, two hundred two billion, four hundred twenty-six million, seven hundred twenty-five thousand, six hundred twenty-four".