21357146448 has 320 divisors, whose sum is σ = 69698396160. Its totient is φ = 6202828800.

The previous prime is 21357146413. The next prime is 21357146491. The reversal of 21357146448 is 84464175312.

21357146448 is a `hidden beast` number, since 2 + 13 + 57 + 146 + 448 = 666.

It is a super-2 number, since 2×21357146448² (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 63 ways as a sum of consecutive naturals, for example, 16645615 + ... + 16646897.

It is an arithmetic number, because the mean of its divisors is an integer number (217807488).

Almost surely, 2^21357146448 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 21357146448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34849198080).

21357146448 is an abundant number, since it is smaller than the sum of its proper divisors (48341249712).

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

21357146448 is a wasteful number, since it uses less digits than its factorization.

21357146448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1443 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 21357146448 in words is "twenty-one billion, three hundred fifty-seven million, one hundred forty-six thousand, four hundred forty-eight".