44325461643264 has 624 divisors, whose sum is σ = 136487013062400. Its totient is φ = 13820461056000.

The previous prime is 44325461643241. The next prime is 44325461643269. The reversal of 44325461643264 is 46234616452344.

44325461643264 is a `hidden beast` number, since 4 + 4 + 3 + 2 + 546 + 1 + 6 + 4 + 32 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44325461643264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44325461643269) 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, 36007685529 + ... + 36007686759.

It is an arithmetic number, because the mean of its divisors is an integer number (218729187600).

Almost surely, 2^{44325461643264} 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 44325461643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68243506531200).

44325461643264 is an abundant number, since it is smaller than the sum of its proper divisors (92161551419136).

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

44325461643264 is a wasteful number, since it uses less digits than its factorization.

44325461643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1865 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 44325461643264 in words is "forty-four trillion, three hundred twenty-five billion, four hundred sixty-one million, six hundred forty-three thousand, two hundred sixty-four".