45152343464052 has 192 divisors, whose sum is σ = 118570354366464. Its totient is φ = 13255108392960.

The previous prime is 45152343464051. The next prime is 45152343464237. The reversal of 45152343464052 is 25046434325154.

It is a junction number, because it is equal to n+sod(n) for n = 45152343463992 and 45152343464010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152343464051) by changing a digit.

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, 433134528 + ... + 433238760.

It is an arithmetic number, because the mean of its divisors is an integer number (617553928992).

Almost surely, 2^{45152343464052} 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 45152343464052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59285177183232).

45152343464052 is an abundant number, since it is smaller than the sum of its proper divisors (73418010902412).

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

45152343464052 is a wasteful number, since it uses less digits than its factorization.

45152343464052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104918 (or 104916 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 45152343464052 in words is "forty-five trillion, one hundred fifty-two billion, three hundred forty-three million, four hundred sixty-four thousand, fifty-two".