45035035144 has 64 divisors (see below), whose sum is σ = 95804870400. Its totient is φ = 19664985600.

The previous prime is 45035035127. The next prime is 45035035147. The reversal of 45035035144 is 44153053054.

It is not an unprimeable number, because it can be changed into a prime (45035035147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169684 + ... + 344764.

It is an arithmetic number, because the mean of its divisors is an integer number (1496951100).

Almost surely, 2^45035035144 is an apocalyptic number.

45035035144 is a gapful number since it is divisible by the number (44) 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 45035035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47902435200).

45035035144 is an abundant number, since it is smaller than the sum of its proper divisors (50769835256).

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

45035035144 is a wasteful number, since it uses less digits than its factorization.

45035035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175214 (or 175210 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 45035035144 its reverse (44153053054), we get a palindrome (89188088198).

The spelling of 45035035144 in words is "forty-five billion, thirty-five million, thirty-five thousand, one hundred forty-four".