2345657211648 has 432 divisors, whose sum is σ = 7096841256960. Its totient is φ = 772659191808.

The previous prime is 2345657211647. The next prime is 2345657211713. The reversal of 2345657211648 is 8461127565432.

2345657211648 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 6 + 572 + 1 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 2345657211594 and 2345657211603.

It is not an unprimeable number, because it can be changed into a prime (2345657211647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2899452268 + ... + 2899453076.

It is an arithmetic number, because the mean of its divisors is an integer number (16427873280).

Almost surely, 2^{2345657211648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345657211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548420628480).

2345657211648 is an abundant number, since it is smaller than the sum of its proper divisors (4751184045312).

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

2345657211648 is an equidigital number, since it uses as much as digits as its factorization.

2345657211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1308 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 2345657211648 in words is "two trillion, three hundred forty-five billion, six hundred fifty-seven million, two hundred eleven thousand, six hundred forty-eight".