444632021254152 has 384 divisors, whose sum is σ = 1286997693696000. Its totient is φ = 138192995082240.

The previous prime is 444632021254147. The next prime is 444632021254159. The reversal of 444632021254152 is 251452120236444.

444632021254152 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 3 + 202 + 1 + 25 + 415 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444632021254098 and 444632021254107.

It is not an unprimeable number, because it can be changed into a prime (444632021254159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45937800849 + ... + 45937810527.

It is an arithmetic number, because the mean of its divisors is an integer number (3351556494000).

Almost surely, 2^{444632021254152} 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 444632021254152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643498846848000).

444632021254152 is an abundant number, since it is smaller than the sum of its proper divisors (842365672441848).

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

444632021254152 is a wasteful number, since it uses less digits than its factorization.

444632021254152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 444632021254152 in words is "four hundred forty-four trillion, six hundred thirty-two billion, twenty-one million, two hundred fifty-four thousand, one hundred fifty-two".