2011923816448 has 224 divisors, whose sum is σ = 4965889138560. Its totient is φ = 793714360320.

The previous prime is 2011923816421. The next prime is 2011923816449. The reversal of 2011923816448 is 8446183291102.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2011923816449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282530328 + ... + 282537448.

It is an arithmetic number, because the mean of its divisors is an integer number (22169147940).

Almost surely, 2^{2011923816448} is an apocalyptic number.

2011923816448 is a gapful number since it is divisible by the number (28) 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 2011923816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482944569280).

2011923816448 is an abundant number, since it is smaller than the sum of its proper divisors (2953965322112).

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

2011923816448 is an equidigital number, since it uses as much as digits as its factorization.

2011923816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 2011923816448 in words is "two trillion, eleven billion, nine hundred twenty-three million, eight hundred sixteen thousand, four hundred forty-eight".