21224546413488 has 240 divisors, whose sum is σ = 66198541593600. Its totient is φ = 6292872069120.

The previous prime is 21224546413487. The next prime is 21224546413493. The reversal of 21224546413488 is 88431464542212.

21224546413488 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 546 + 4 + 13 + 4 + 88 = 666.

It is a super-2 number, since 2×21224546413488² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21224546413487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247794573 + ... + 247880211.

It is an arithmetic number, because the mean of its divisors is an integer number (275827256640).

Almost surely, 2^{21224546413488} 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 21224546413488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33099270796800).

21224546413488 is an abundant number, since it is smaller than the sum of its proper divisors (44973995180112).

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

21224546413488 is a wasteful number, since it uses less digits than its factorization.

21224546413488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89040 (or 89031 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 21224546413488 in words is "twenty-one trillion, two hundred twenty-four billion, five hundred forty-six million, four hundred thirteen thousand, four hundred eighty-eight".