20453616144 has 120 divisors (see below), whose sum is σ = 61722013080. Its totient is φ = 6285551616.

The previous prime is 20453616121. The next prime is 20453616149. The reversal of 20453616144 is 44161635402.

20453616144 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 36 + 1 + 614 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576000000 + 19877616144 = 24000^2 + 140988^2 .

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 = 20453616099 and 20453616108.

It is not an unprimeable number, because it can be changed into a prime (20453616149) 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, 1590412 + ... + 1603220.

It is an arithmetic number, because the mean of its divisors is an integer number (514350109).

Almost surely, 2^20453616144 is an apocalyptic number.

20453616144 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 20453616144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30861006540).

20453616144 is an abundant number, since it is smaller than the sum of its proper divisors (41268396936).

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

20453616144 is a wasteful number, since it uses less digits than its factorization.

20453616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13680 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20453616144 in words is "twenty billion, four hundred fifty-three million, six hundred sixteen thousand, one hundred forty-four".