45202121015352 has 256 divisors, whose sum is σ = 141622387200000. Its totient is φ = 11734422359040.

The previous prime is 45202121015341. The next prime is 45202121015353. The reversal of 45202121015352 is 25351012120254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45202121015353) 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, 4794399 + ... + 10648497.

It is an arithmetic number, because the mean of its divisors is an integer number (553212450000).

Almost surely, 2^{45202121015352} is an apocalyptic number.

45202121015352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45202121015352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70811193600000).

45202121015352 is an abundant number, since it is smaller than the sum of its proper divisors (96420266184648).

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

45202121015352 is a wasteful number, since it uses less digits than its factorization.

45202121015352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854234 (or 5854230 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 45202121015352 in words is "forty-five trillion, two hundred two billion, one hundred twenty-one million, fifteen thousand, three hundred fifty-two".