45153206252 has 288 divisors, whose sum is σ = 109799940096. Its totient is φ = 15765120000.

The previous prime is 45153206243. The next prime is 45153206261. The reversal of 45153206252 is 25260235154.

It is an interprime number because it is at equal distance from previous prime (45153206243) and next prime (45153206261).

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, 179893127 + ... + 179893377.

It is an arithmetic number, because the mean of its divisors is an integer number (381249792).

Almost surely, 2^45153206252 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 45153206252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899970048).

45153206252 is an abundant number, since it is smaller than the sum of its proper divisors (64646733844).

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

45153206252 is a wasteful number, since it uses less digits than its factorization.

45153206252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 45153206252 in words is "forty-five billion, one hundred fifty-three million, two hundred six thousand, two hundred fifty-two".