21406196448 has 576 divisors, whose sum is σ = 77785344000. Its totient is φ = 5547709440.

The previous prime is 21406196443. The next prime is 21406196453. The reversal of 21406196448 is 84469160412.

21406196448 is a `hidden beast` number, since 2 + 14 + 0 + 6 + 196 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (21406196443) and next prime (21406196453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21406196443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101451063 + ... + 101451273.

It is an arithmetic number, because the mean of its divisors is an integer number (135044000).

Almost surely, 2^21406196448 is an apocalyptic number.

21406196448 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 21406196448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38892672000).

21406196448 is an abundant number, since it is smaller than the sum of its proper divisors (56379147552).

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

21406196448 is a wasteful number, since it uses less digits than its factorization.

21406196448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21406196448 in words is "twenty-one billion, four hundred six million, one hundred ninety-six thousand, four hundred forty-eight".