444725670133836 has 1152 divisors, whose sum is σ = 1509034680115200. Its totient is φ = 112139830978560.

The previous prime is 444725670133781. The next prime is 444725670133847. The reversal of 444725670133836 is 638331076527444.

444725670133836 is a `hidden beast` number, since 4 + 4 + 4 + 7 + 2 + 567 + 0 + 1 + 3 + 38 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90593941350 + ... + 90593946258.

It is an arithmetic number, because the mean of its divisors is an integer number (1309925937600).

Almost surely, 2^{444725670133836} 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 444725670133836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754517340057600).

444725670133836 is an abundant number, since it is smaller than the sum of its proper divisors (1064309009981364).

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

444725670133836 is a wasteful number, since it uses less digits than its factorization.

444725670133836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 444725670133836 in words is "four hundred forty-four trillion, seven hundred twenty-five billion, six hundred seventy million, one hundred thirty-three thousand, eight hundred thirty-six".