7852444590144 has 1792 divisors, whose sum is σ = 29022968217600. Its totient is φ = 1813089484800.

The previous prime is 7852444590143. The next prime is 7852444590181. The reversal of 7852444590144 is 4410954442587.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (7852444590143) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48174506607 + ... + 48174506769.

It is an arithmetic number, because the mean of its divisors is an integer number (16195852800).

Almost surely, 2^{7852444590144} 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 7852444590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511484108800).

7852444590144 is an abundant number, since it is smaller than the sum of its proper divisors (21170523627456).

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

7852444590144 is a wasteful number, since it uses less digits than its factorization.

7852444590144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 7852444590144 in words is "seven trillion, eight hundred fifty-two billion, four hundred forty-four million, five hundred ninety thousand, one hundred forty-four".