44962266226944 has 576 divisors, whose sum is σ = 141252435072000. Its totient is φ = 12547940843520.

The previous prime is 44962266226919. The next prime is 44962266226949.

It is a happy number.

44962266226944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (44962266226949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8664916702 + ... + 8664921890.

It is an arithmetic number, because the mean of its divisors is an integer number (245229922000).

Almost surely, 2^{44962266226944} is an apocalyptic number.

44962266226944 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 44962266226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70626217536000).

44962266226944 is an abundant number, since it is smaller than the sum of its proper divisors (96290168845056).

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

44962266226944 is a wasteful number, since it uses less digits than its factorization.

44962266226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6720 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 66.

The spelling of 44962266226944 in words is "forty-four trillion, nine hundred sixty-two billion, two hundred sixty-six million, two hundred twenty-six thousand, nine hundred forty-four".