2113238550528 has 384 divisors, whose sum is σ = 7180022304000. Its totient is φ = 601602785280.

The previous prime is 2113238550499. The next prime is 2113238550541. The reversal of 2113238550528 is 8250558323112.

2113238550528 is a `hidden beast` number, since 2 + 1 + 13 + 2 + 38 + 550 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108757518 + ... + 108776946.

It is an arithmetic number, because the mean of its divisors is an integer number (18697974750).

Almost surely, 2^{2113238550528} is an apocalyptic number.

2113238550528 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 2113238550528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590011152000).

2113238550528 is an abundant number, since it is smaller than the sum of its proper divisors (5066783753472).

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

2113238550528 is a wasteful number, since it uses less digits than its factorization.

2113238550528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19748 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2113238550528 in words is "two trillion, one hundred thirteen billion, two hundred thirty-eight million, five hundred fifty thousand, five hundred twenty-eight".