44259118073856 has 1536 divisors, whose sum is σ = 160249549824000. Its totient is φ = 11798103195648.

The previous prime is 44259118073761. The next prime is 44259118073923. The reversal of 44259118073856 is 65837081195244.

It is a happy number.

44259118073856 is a `hidden beast` number, since 4 + 4 + 2 + 591 + 1 + 8 + 0 + 7 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 44259118073793 and 44259118073802.

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 127 ways as a sum of consecutive naturals, for example, 65763919536 + ... + 65763920208.

It is an arithmetic number, because the mean of its divisors is an integer number (104329134000).

It is a 1-persistent number, because it is pandigital, but 2⋅44259118073856 = 88518236147712 is not.

Almost surely, 2^{44259118073856} is an apocalyptic number.

44259118073856 is a gapful number since it is divisible by the number (46) 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 44259118073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80124774912000).

44259118073856 is an abundant number, since it is smaller than the sum of its proper divisors (115990431750144).

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

44259118073856 is a wasteful number, since it uses less digits than its factorization.

44259118073856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 44259118073856 in words is "forty-four trillion, two hundred fifty-nine billion, one hundred eighteen million, seventy-three thousand, eight hundred fifty-six".