2123647620768 has 192 divisors, whose sum is σ = 6208178135040. Its totient is φ = 706261420800.

The previous prime is 2123647620763. The next prime is 2123647620769. The reversal of 2123647620768 is 8670267463212.

2123647620768 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 6 + 4 + 7 + 620 + 7 + 6 + 8 = 666.

It is a super-3 number, since 3×2123647620768³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2123647620761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099764763 + ... + 1099766693.

It is an arithmetic number, because the mean of its divisors is an integer number (32334261120).

Almost surely, 2^{2123647620768} 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 2123647620768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104089067520).

2123647620768 is an abundant number, since it is smaller than the sum of its proper divisors (4084530514272).

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

2123647620768 is a wasteful number, since it uses less digits than its factorization.

2123647620768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2123647620768 in words is "two trillion, one hundred twenty-three billion, six hundred forty-seven million, six hundred twenty thousand, seven hundred sixty-eight".