45523214530120 has 128 divisors (see below), whose sum is σ = 113640462432000. Its totient is φ = 16341778252800.

The previous prime is 45523214530081. The next prime is 45523214530121. The reversal of 45523214530120 is 2103541232554.

It is a happy number.

45523214530120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45523214530120² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45523214530120.

It is not an unprimeable number, because it can be changed into a prime (45523214530121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18317556 + ... + 20653795.

It is an arithmetic number, because the mean of its divisors is an integer number (887816112750).

Almost surely, 2^{45523214530120} is an apocalyptic number.

45523214530120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45523214530120 is an abundant number, since it is smaller than the sum of its proper divisors (68117247901880).

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

45523214530120 is a wasteful number, since it uses less digits than its factorization.

45523214530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38971463 (or 38971459 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 45523214530120 its reverse (2103541232554), we get a palindrome (47626755762674).

The spelling of 45523214530120 in words is "forty-five trillion, five hundred twenty-three billion, two hundred fourteen million, five hundred thirty thousand, one hundred twenty".