444245901552 has 120 divisors (see below), whose sum is σ = 1316714162400. Its totient is φ = 139338547200.

The previous prime is 444245901529. The next prime is 444245901553. The reversal of 444245901552 is 255109542444.

444245901552 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 4 + 5 + 90 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444245901498 and 444245901507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444245901553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11733949 + ... + 11771747.

It is an arithmetic number, because the mean of its divisors is an integer number (10972618020).

Almost surely, 2^444245901552 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 444245901552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658357081200).

444245901552 is an abundant number, since it is smaller than the sum of its proper divisors (872468260848).

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

444245901552 is a wasteful number, since it uses less digits than its factorization.

444245901552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42631 (or 42622 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 444245901552 in words is "four hundred forty-four billion, two hundred forty-five million, nine hundred one thousand, five hundred fifty-two".