44145902223360 has 1296 divisors, whose sum is σ = 182295047503296. Its totient is φ = 10039785947136.

The previous prime is 44145902223359. The next prime is 44145902223547. The reversal of 44145902223360 is 6332220954144.

44145902223360 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 5 + 90 + 222 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×44145902223360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221838704541 + ... + 221838704739.

It is an arithmetic number, because the mean of its divisors is an integer number (140659758876).

Almost surely, 2^{44145902223360} is an apocalyptic number.

44145902223360 is a gapful number since it is divisible by the number (40) 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 44145902223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91147523751648).

44145902223360 is an abundant number, since it is smaller than the sum of its proper divisors (138149145279936).

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

44145902223360 is an frugal number, since it uses more digits than its factorization.

44145902223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 44145902223360 in words is "forty-four trillion, one hundred forty-five billion, nine hundred two million, two hundred twenty-three thousand, three hundred sixty".