21147336258048 has 2880 divisors, whose sum is σ = 89842579706880. Its totient is φ = 4788921139200.

The previous prime is 21147336258031. The next prime is 21147336258049. The reversal of 21147336258048 is 84085263374112.

21147336258048 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 7 + 3 + 3 + 625 + 8 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21147336257985 and 21147336258003.

It is not an unprimeable number, because it can be changed into a prime (21147336258049) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63889233243 + ... + 63889233573.

It is an arithmetic number, because the mean of its divisors is an integer number (31195340176).

Almost surely, 2^{21147336258048} is an apocalyptic number.

21147336258048 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 21147336258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44921289853440).

21147336258048 is an abundant number, since it is smaller than the sum of its proper divisors (68695243448832).

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

21147336258048 is an equidigital number, since it uses as much as digits as its factorization.

21147336258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 211473 and 36258048, that added together give a square (36469521 = 6039²).

The spelling of 21147336258048 in words is "twenty-one trillion, one hundred forty-seven billion, three hundred thirty-six million, two hundred fifty-eight thousand, forty-eight".