45416734344 has 160 divisors (see below), whose sum is σ = 128523780000. Its totient is φ = 14983170048.

The previous prime is 45416734343. The next prime is 45416734361. The reversal of 45416734344 is 44343761454.

45416734344 is a `hidden beast` number, since 4 + 54 + 167 + 3 + 434 + 4 = 666.

It is a super-2 number, since 2×45416734344² (a number of 22 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 45416734344.

It is not an unprimeable number, because it can be changed into a prime (45416734343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40441767 + ... + 40442889.

It is an arithmetic number, because the mean of its divisors is an integer number (803273625).

Almost surely, 2^45416734344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45416734344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64261890000).

45416734344 is an abundant number, since it is smaller than the sum of its proper divisors (83107045656).

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

45416734344 is a wasteful number, since it uses less digits than its factorization.

45416734344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1716 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 45416734344 in words is "forty-five billion, four hundred sixteen million, seven hundred thirty-four thousand, three hundred forty-four".