44654016960 has 1120 divisors, whose sum is σ = 198837669888. Its totient is φ = 9276456960.

The previous prime is 44654016919. The next prime is 44654017003. The reversal of 44654016960 is 6961045644.

It is a happy number.

44654016960 is a `hidden beast` number, since 4 + 4 + 6 + 540 + 16 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 95618647 + ... + 95619113.

Almost surely, 2^44654016960 is an apocalyptic number.

44654016960 is a gapful number since it is divisible by the number (40) 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 44654016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99418834944).

44654016960 is an abundant number, since it is smaller than the sum of its proper divisors (154183652928).

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

44654016960 is a wasteful number, since it uses less digits than its factorization.

44654016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 44654016960 in words is "forty-four billion, six hundred fifty-four million, sixteen thousand, nine hundred sixty".