20158066441344 has 256 divisors, whose sum is σ = 58485217351680. Its totient is φ = 6114615754752.

The previous prime is 20158066441267. The next prime is 20158066441367. The reversal of 20158066441344 is 44314466085102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 20158066441293 and 20158066441302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124364577 + ... + 124526559.

It is an arithmetic number, because the mean of its divisors is an integer number (228457880280).

Almost surely, 2^{20158066441344} is an apocalyptic number.

20158066441344 is a gapful number since it is divisible by the number (24) 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 20158066441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29242608675840).

20158066441344 is an abundant number, since it is smaller than the sum of its proper divisors (38327150910336).

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

20158066441344 is a wasteful number, since it uses less digits than its factorization.

20158066441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162367 (or 162355 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 20158066441344 in words is "twenty trillion, one hundred fifty-eight billion, sixty-six million, four hundred forty-one thousand, three hundred forty-four".