45281534840352 has 192 divisors, whose sum is σ = 139065156720000. Its totient is φ = 14295019428864.

The previous prime is 45281534840327. The next prime is 45281534840363. The reversal of 45281534840352 is 25304843518254.

45281534840352 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 153 + 484 + 0 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×45281534840352² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52977274 + ... + 53825222.

It is an arithmetic number, because the mean of its divisors is an integer number (724297691250).

Almost surely, 2^{45281534840352} 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 45281534840352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69532578360000).

45281534840352 is an abundant number, since it is smaller than the sum of its proper divisors (93783621879648).

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

45281534840352 is a wasteful number, since it uses less digits than its factorization.

45281534840352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851240 (or 851226 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 45281534840352 in words is "forty-five trillion, two hundred eighty-one billion, five hundred thirty-four million, eight hundred forty thousand, three hundred fifty-two".