20148449014944 has 576 divisors, whose sum is σ = 63229418284032. Its totient is φ = 6058318233600.

The previous prime is 20148449014937. The next prime is 20148449015011. The reversal of 20148449014944 is 44941094484102.

20148449014944 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 8 + 4 + 490 + 149 + 4 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11872980304 + ... + 11872982000.

It is an arithmetic number, because the mean of its divisors is an integer number (109773295632).

Almost surely, 2^{20148449014944} is an apocalyptic number.

20148449014944 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 20148449014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31614709142016).

20148449014944 is an abundant number, since it is smaller than the sum of its proper divisors (43080969269088).

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

20148449014944 is a wasteful number, since it uses less digits than its factorization.

20148449014944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20148449014944 in words is "twenty trillion, one hundred forty-eight billion, four hundred forty-nine million, fourteen thousand, nine hundred forty-four".