44785055058744 has 256 divisors, whose sum is σ = 150570362880000. Its totient is φ = 10720325168640.

The previous prime is 44785055058739. The next prime is 44785055058767.

44785055058744 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44785055058744² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13365057 + ... + 16376655.

It is an arithmetic number, because the mean of its divisors is an integer number (588165480000).

Almost surely, 2^{44785055058744} is an apocalyptic number.

44785055058744 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 44785055058744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75285181440000).

44785055058744 is an abundant number, since it is smaller than the sum of its proper divisors (105785307821256).

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

44785055058744 is a wasteful number, since it uses less digits than its factorization.

44785055058744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012258 (or 3012254 counting only the distinct ones).

The product of its (nonzero) digits is 501760000, while the sum is 66.

The spelling of 44785055058744 in words is "forty-four trillion, seven hundred eighty-five billion, fifty-five million, fifty-eight thousand, seven hundred forty-four".