44845744608 has 480 divisors, whose sum is σ = 154622248704. Its totient is φ = 12487385088.

The previous prime is 44845744607. The next prime is 44845744633. The reversal of 44845744608 is 80644754844.

44845744608 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 574 + 4 + 60 + 8 = 666.

It is a super-3 number, since 3×44845744608³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44845744607) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146077191 + ... + 146077497.

Almost surely, 2^44845744608 is an apocalyptic number.

44845744608 is a gapful number since it is divisible by the number (48) 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 44845744608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77311124352).

44845744608 is an abundant number, since it is smaller than the sum of its proper divisors (109776504096).

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

44845744608 is a wasteful number, since it uses less digits than its factorization.

44845744608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 44845744608 in words is "forty-four billion, eight hundred forty-five million, seven hundred forty-four thousand, six hundred eight".