45401464320 has 160 divisors (see below), whose sum is σ = 146982021120. Its totient is φ = 11953643520.

The previous prime is 45401464271. The next prime is 45401464331. The reversal of 45401464320 is 2346410454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×45401464320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569305 + ... + 644135.

It is an arithmetic number, because the mean of its divisors is an integer number (918637632).

Almost surely, 2^45401464320 is an apocalyptic number.

45401464320 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 45401464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73491010560).

45401464320 is an abundant number, since it is smaller than the sum of its proper divisors (101580556800).

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

45401464320 is an equidigital number, since it uses as much as digits as its factorization.

45401464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74936 (or 74920 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 45401464320 its reverse (2346410454), we get a palindrome (47747874774).

The spelling of 45401464320 in words is "forty-five billion, four hundred one million, four hundred sixty-four thousand, three hundred twenty".