44675888857644 has 288 divisors, whose sum is σ = 119753019783936. Its totient is φ = 12942072000000.

The previous prime is 44675888857631. The next prime is 44675888857661.

44675888857644 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44675888857644² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 710790819 + ... + 710853669.

It is an arithmetic number, because the mean of its divisors is an integer number (415809096472).

Almost surely, 2^{44675888857644} is an apocalyptic number.

44675888857644 is a gapful number since it is divisible by the number (44) 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 44675888857644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59876509891968).

44675888857644 is an abundant number, since it is smaller than the sum of its proper divisors (75077130926292).

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

44675888857644 is a wasteful number, since it uses less digits than its factorization.

44675888857644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63149 (or 63136 counting only the distinct ones).

The product of its digits is 46242201600, while the sum is 84.

The spelling of 44675888857644 in words is "forty-four trillion, six hundred seventy-five billion, eight hundred eighty-eight million, eight hundred fifty-seven thousand, six hundred forty-four".