21452341248000 has 2592 divisors, whose sum is σ = 90742179370752. Its totient is φ = 4841275392000.

The previous prime is 21452341247999. The next prime is 21452341248007. The reversal of 21452341248000 is 84214325412.

21452341248000 is a `hidden beast` number, since 2 + 1 + 4 + 523 + 4 + 124 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21452341248007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 692011007985 + ... + 692011008015.

It is an arithmetic number, because the mean of its divisors is an integer number (35008556856).

Almost surely, 2^{21452341248000} is an apocalyptic number.

21452341248000 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 21452341248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45371089685376).

21452341248000 is an abundant number, since it is smaller than the sum of its proper divisors (69289838122752).

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

21452341248000 is an equidigital number, since it uses as much as digits as its factorization.

21452341248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 21452341248000 in words is "twenty-one trillion, four hundred fifty-two billion, three hundred forty-one million, two hundred forty-eight thousand".