21435295464 has 256 divisors, whose sum is σ = 69971558400. Its totient is φ = 6012230400.

The previous prime is 21435295463. The next prime is 21435295477. The reversal of 21435295464 is 46459253412.

21435295464 is a `hidden beast` number, since 2 + 14 + 3 + 529 + 54 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (21435295463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1687762 + ... + 1700414.

It is an arithmetic number, because the mean of its divisors is an integer number (273326400).

Almost surely, 2^21435295464 is an apocalyptic number.

21435295464 is a gapful number since it is divisible by the number (24) 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 21435295464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34985779200).

21435295464 is an abundant number, since it is smaller than the sum of its proper divisors (48536262936).

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

21435295464 is a wasteful number, since it uses less digits than its factorization.

21435295464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12723 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 21435295464 in words is "twenty-one billion, four hundred thirty-five million, two hundred ninety-five thousand, four hundred sixty-four".