20838150144 has 312 divisors, whose sum is σ = 71801912832. Its totient is φ = 5693276160.

The previous prime is 20838150143. The next prime is 20838150173. The reversal of 20838150144 is 44105183802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20838150099 and 20838150108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20838150143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5933349 + ... + 5936859.

It is an arithmetic number, because the mean of its divisors is an integer number (230134336).

Almost surely, 2^20838150144 is an apocalyptic number.

20838150144 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 20838150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35900956416).

20838150144 is an abundant number, since it is smaller than the sum of its proper divisors (50963762688).

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

20838150144 is a wasteful number, since it uses less digits than its factorization.

20838150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20838150144 in words is "twenty billion, eight hundred thirty-eight million, one hundred fifty thousand, one hundred forty-four".