21114805460 has 384 divisors, whose sum is σ = 59361361920. Its totient is φ = 6136897536.

The previous prime is 21114805427. The next prime is 21114805519. The reversal of 21114805460 is 6450841112.

It is a super-2 number, since 2×21114805460² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74610479 + ... + 74610761.

It is an arithmetic number, because the mean of its divisors is an integer number (154586880).

Almost surely, 2^21114805460 is an apocalyptic number.

21114805460 is a gapful number since it is divisible by the number (20) 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 21114805460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29680680960).

21114805460 is an abundant number, since it is smaller than the sum of its proper divisors (38246556460).

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

21114805460 is a wasteful number, since it uses less digits than its factorization.

21114805460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 21114805460 in words is "twenty-one billion, one hundred fourteen million, eight hundred five thousand, four hundred sixty".