21338348368140 has 96 divisors (see below), whose sum is σ = 66386954780160. Its totient is φ = 5690142053568.

The previous prime is 21338348368121. The next prime is 21338348368159. The reversal of 21338348368140 is 4186384383312.

It is a happy number.

21338348368140 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 83 + 483 + 6 + 81 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21338348368121) and next prime (21338348368159).

It is a super-2 number, since 2×21338348368140² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41870499 + ... + 42377061.

It is an arithmetic number, because the mean of its divisors is an integer number (691530778960).

Almost surely, 2^{21338348368140} is an apocalyptic number.

21338348368140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21338348368140 is an abundant number, since it is smaller than the sum of its proper divisors (45048606412020).

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

21338348368140 is a wasteful number, since it uses less digits than its factorization.

21338348368140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584588 (or 584580 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 21338348368140 in words is "twenty-one trillion, three hundred thirty-eight billion, three hundred forty-eight million, three hundred sixty-eight thousand, one hundred forty".