21348160339968 has 1536 divisors, whose sum is σ = 81332185536000. Its totient is φ = 5471773655040.

The previous prime is 21348160339967. The next prime is 21348160339969. The reversal of 21348160339968 is 86993306184312.

21348160339968 is a `hidden beast` number, since 2 + 1 + 3 + 481 + 6 + 0 + 3 + 3 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (21348160339967) and next prime (21348160339969).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21348160339967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42441670405 + ... + 42441670907.

It is an arithmetic number, because the mean of its divisors is an integer number (52950641625).

Almost surely, 2^{21348160339968} is an apocalyptic number.

21348160339968 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 21348160339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40666092768000).

21348160339968 is an abundant number, since it is smaller than the sum of its proper divisors (59984025196032).

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

21348160339968 is an equidigital number, since it uses as much as digits as its factorization.

21348160339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 21348160339968 in words is "twenty-one trillion, three hundred forty-eight billion, one hundred sixty million, three hundred thirty-nine thousand, nine hundred sixty-eight".