44961052224 has 112 divisors (see below), whose sum is σ = 130847201856. Its totient is φ = 13624483840.

The previous prime is 44961052217. The next prime is 44961052259. The reversal of 44961052224 is 42225016944.

It is a happy number.

44961052224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167584 + ... + 343520.

It is an arithmetic number, because the mean of its divisors is an integer number (1168278588).

Almost surely, 2^44961052224 is an apocalyptic number.

44961052224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44961052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65423600928).

44961052224 is an abundant number, since it is smaller than the sum of its proper divisors (85886149632).

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

44961052224 is a wasteful number, since it uses less digits than its factorization.

44961052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175985 (or 175953 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 44961052224 in words is "forty-four billion, nine hundred sixty-one million, fifty-two thousand, two hundred twenty-four".