45345249331200 has 2592 divisors, whose sum is σ = 202481572849920. Its totient is φ = 9495694540800.

The previous prime is 45345249331181. The next prime is 45345249331201. The reversal of 45345249331200 is 213394254354.

45345249331200 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 524 + 93 + 31 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45345249331201) 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 215 ways as a sum of consecutive naturals, for example, 105209394985 + ... + 105209395415.

It is an arithmetic number, because the mean of its divisors is an integer number (78117890760).

Almost surely, 2^{45345249331200} is an apocalyptic number.

45345249331200 is a gapful number since it is divisible by the number (40) 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 45345249331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101240786424960).

45345249331200 is an abundant number, since it is smaller than the sum of its proper divisors (157136323518720).

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

45345249331200 is a wasteful number, since it uses less digits than its factorization.

45345249331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 45345249331200 in words is "forty-five trillion, three hundred forty-five billion, two hundred forty-nine million, three hundred thirty-one thousand, two hundred".