45434524344 has 128 divisors (see below), whose sum is σ = 128579616000. Its totient is φ = 13252377600.

The previous prime is 45434524337. The next prime is 45434524351. The reversal of 45434524344 is 44342543454.

It is an interprime number because it is at equal distance from previous prime (45434524337) and next prime (45434524351).

It is a junction number, because it is equal to n+sod(n) for n = 45434524296 and 45434524305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525172 + ... + 2543100.

It is an arithmetic number, because the mean of its divisors is an integer number (1004528250).

Almost surely, 2^45434524344 is an apocalyptic number.

45434524344 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 45434524344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64289808000).

45434524344 is an abundant number, since it is smaller than the sum of its proper divisors (83145091656).

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

45434524344 is a wasteful number, since it uses less digits than its factorization.

45434524344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18309 (or 18305 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 42.

It can be divided in two parts, 45434 and 524344, that added together give a triangular number (569778 = T₁₀₆₇).

The spelling of 45434524344 in words is "forty-five billion, four hundred thirty-four million, five hundred twenty-four thousand, three hundred forty-four".