44149310466048 has 144 divisors (see below), whose sum is σ = 129601666876500. Its totient is φ = 14475183390720.

The previous prime is 44149310466007. The next prime is 44149310466077. The reversal of 44149310466048 is 84066401394144.

44149310466048 is a `hidden beast` number, since 4 + 4 + 1 + 493 + 10 + 46 + 60 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44051786671104 + 97523794944 = 6637152^2 + 312288^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×44149310466048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44149310465985 and 44149310466003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18508873 + ... + 20757576.

Almost surely, 2^{44149310466048} is an apocalyptic number.

44149310466048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44149310466048 is an abundant number, since it is smaller than the sum of its proper divisors (85452356410452).

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

44149310466048 is a wasteful number, since it uses less digits than its factorization.

44149310466048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39266538 (or 39266515 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 44149310466048 in words is "forty-four trillion, one hundred forty-nine billion, three hundred ten million, four hundred sixty-six thousand, forty-eight".