2113961528448 has 1024 divisors, whose sum is σ = 8261471232000. Its totient is φ = 515199467520.

The previous prime is 2113961528447. The next prime is 2113961528449. The reversal of 2113961528448 is 8448251693112.

2113961528448 is a `hidden beast` number, since 2 + 1 + 13 + 9 + 61 + 528 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2113961528447) and next prime (2113961528449).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2113961528394 and 2113961528403.

It is not an unprimeable number, because it can be changed into a prime (2113961528447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2275523248 + ... + 2275524176.

It is an arithmetic number, because the mean of its divisors is an integer number (8067843000).

Almost surely, 2^{2113961528448} is an apocalyptic number.

2113961528448 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 2113961528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130735616000).

2113961528448 is an abundant number, since it is smaller than the sum of its proper divisors (6147509703552).

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

2113961528448 is a wasteful number, since it uses less digits than its factorization.

2113961528448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1472 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 2113961528448 in words is "two trillion, one hundred thirteen billion, nine hundred sixty-one million, five hundred twenty-eight thousand, four hundred forty-eight".