45334153200000 has 1152 divisors, whose sum is σ = 177569997292800. Its totient is φ = 10215206400000.

The previous prime is 45334153199987. The next prime is 45334153200031. The reversal of 45334153200000 is 235143354.

It is a super-2 number, since 2×45334153200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4174794571 + ... + 4174805429.

It is an arithmetic number, because the mean of its divisors is an integer number (154140622650).

Almost surely, 2^{45334153200000} is an apocalyptic number.

45334153200000 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 45334153200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88784998646400).

45334153200000 is an abundant number, since it is smaller than the sum of its proper divisors (132235844092800).

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

45334153200000 is an equidigital number, since it uses as much as digits as its factorization.

45334153200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 45334153200000 its reverse (235143354), we get a palindrome (45334388343354).

The spelling of 45334153200000 in words is "forty-five trillion, three hundred thirty-four billion, one hundred fifty-three million, two hundred thousand".