20146221254160 has 240 divisors, whose sum is σ = 71681425438896. Its totient is φ = 5053212721152.

The previous prime is 20146221254153. The next prime is 20146221254161. The reversal of 20146221254160 is 6145212264102.

20146221254160 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 622 + 1 + 25 + 4 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6093709479936 + 14052511774224 = 2468544^2 + 3748668^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (20146221254161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19534152 + ... + 20539608.

Almost surely, 2^{20146221254160} is an apocalyptic number.

20146221254160 is a gapful number since it is divisible by the number (20) 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 20146221254160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35840712719448).

20146221254160 is an abundant number, since it is smaller than the sum of its proper divisors (51535204184736).

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

20146221254160 is a wasteful number, since it uses less digits than its factorization.

20146221254160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007130 (or 1007121 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20146221254160 in words is "twenty trillion, one hundred forty-six billion, two hundred twenty-one million, two hundred fifty-four thousand, one hundred sixty".