45351134413520 has 160 divisors (see below), whose sum is σ = 114106687537920. Its totient is φ = 16663298641920.

The previous prime is 45351134413517. The next prime is 45351134413523. The reversal of 45351134413520 is 2531443115354.

It is an interprime number because it is at equal distance from previous prime (45351134413517) and next prime (45351134413523).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45351134413523) 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 31 ways as a sum of consecutive naturals, for example, 2529475916 + ... + 2529493844.

It is an arithmetic number, because the mean of its divisors is an integer number (713166797112).

Almost surely, 2^{45351134413520} is an apocalyptic number.

45351134413520 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 45351134413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57053343768960).

45351134413520 is an abundant number, since it is smaller than the sum of its proper divisors (68755553124400).

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

45351134413520 is a wasteful number, since it uses less digits than its factorization.

45351134413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29693 (or 29687 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 45351134413520 its reverse (2531443115354), we get a palindrome (47882577528874).

The spelling of 45351134413520 in words is "forty-five trillion, three hundred fifty-one billion, one hundred thirty-four million, four hundred thirteen thousand, five hundred twenty".