44968211286944 has 48 divisors (see below), whose sum is σ = 102260598140736. Its totient is φ = 19237737446400.

The previous prime is 44968211286931. The next prime is 44968211287003.

44968211286944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3757364612 + ... + 3757376579.

It is an arithmetic number, because the mean of its divisors is an integer number (2130429127932).

Almost surely, 2^{44968211286944} is an apocalyptic number.

44968211286944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44968211286944 is an abundant number, since it is smaller than the sum of its proper divisors (57292386853792).

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

44968211286944 is a wasteful number, since it uses less digits than its factorization.

44968211286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514741229 (or 7514741221 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 68.

The spelling of 44968211286944 in words is "forty-four trillion, nine hundred sixty-eight billion, two hundred eleven million, two hundred eighty-six thousand, nine hundred forty-four".