21846112540 has 192 divisors, whose sum is σ = 55686758400. Its totient is φ = 7037902080.

The previous prime is 21846112507. The next prime is 21846112567. The reversal of 21846112540 is 4521164812.

It is a super-2 number, since 2×21846112540² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21846112496 and 21846112505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66000175 + ... + 66000505.

It is an arithmetic number, because the mean of its divisors is an integer number (290035200).

Almost surely, 2^21846112540 is an apocalyptic number.

21846112540 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 21846112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27843379200).

21846112540 is an abundant number, since it is smaller than the sum of its proper divisors (33840645860).

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

21846112540 is a wasteful number, since it uses less digits than its factorization.

21846112540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 21846112540 in words is "twenty-one billion, eight hundred forty-six million, one hundred twelve thousand, five hundred forty".