45029449344 has 128 divisors (see below), whose sum is σ = 131437183680. Its totient is φ = 13545512960.

The previous prime is 45029449343. The next prime is 45029449349. The reversal of 45029449344 is 44394492054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45029449293 and 45029449302.

It is not an unprimeable number, because it can be changed into a prime (45029449343) 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, 539782 + ... + 617594.

Almost surely, 2^45029449344 is an apocalyptic number.

45029449344 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 45029449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65718591840).

45029449344 is an abundant number, since it is smaller than the sum of its proper divisors (86407734336).

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

45029449344 is a wasteful number, since it uses less digits than its factorization.

45029449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77978 (or 77966 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 45029449344 in words is "forty-five billion, twenty-nine million, four hundred forty-nine thousand, three hundred forty-four".