84445949952 has 520 divisors, whose sum is σ = 310590400736. Its totient is φ = 22263496704.

The previous prime is 84445949911. The next prime is 84445949953. The reversal of 84445949952 is 25994954448.

84445949952 is a `hidden beast` number, since 8 + 4 + 44 + 59 + 499 + 52 = 666.

It is a super-2 number, since 2×84445949952² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84445949952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84445949953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30190218 + ... + 30193014.

Almost surely, 2^84445949952 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 84445949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155295200368).

84445949952 is an abundant number, since it is smaller than the sum of its proper divisors (226144450784).

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

84445949952 is a wasteful number, since it uses less digits than its factorization.

84445949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2822 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 84445949952 in words is "eighty-four billion, four hundred forty-five million, nine hundred forty-nine thousand, nine hundred fifty-two".