44331731006472 has 384 divisors, whose sum is σ = 148528299279360. Its totient is φ = 11632122754560.

The previous prime is 44331731006471. The next prime is 44331731006473. The reversal of 44331731006472 is 27460013713344.

44331731006472 is a `hidden beast` number, since 4 + 4 + 3 + 3 + 1 + 73 + 100 + 6 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (44331731006471) and next prime (44331731006473).

It is a super-2 number, since 2×44331731006472² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44331731006471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5567210763 + ... + 5567218725.

It is an arithmetic number, because the mean of its divisors is an integer number (386792446040).

Almost surely, 2^{44331731006472} is an apocalyptic number.

44331731006472 is a gapful number since it is divisible by the number (42) 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 44331731006472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74264149639680).

44331731006472 is an abundant number, since it is smaller than the sum of its proper divisors (104196568272888).

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

44331731006472 is a wasteful number, since it uses less digits than its factorization.

44331731006472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12233 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 44331731006472 in words is "forty-four trillion, three hundred thirty-one billion, seven hundred thirty-one million, six thousand, four hundred seventy-two".