45424300896 has 288 divisors, whose sum is σ = 143696498400. Its totient is φ = 13520535552.

The previous prime is 45424300891. The next prime is 45424300919. The reversal of 45424300896 is 69800342454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45424300896² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45424300891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26735055 + ... + 26736753.

It is an arithmetic number, because the mean of its divisors is an integer number (498946175).

Almost surely, 2^45424300896 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 45424300896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71848249200).

45424300896 is an abundant number, since it is smaller than the sum of its proper divisors (98272197504).

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

45424300896 is a wasteful number, since it uses less digits than its factorization.

45424300896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45424300896 in words is "forty-five billion, four hundred twenty-four million, three hundred thousand, eight hundred ninety-six".