21469419425664 has 1024 divisors, whose sum is σ = 79365348096000. Its totient is φ = 5576432615424.

The previous prime is 21469419425621. The next prime is 21469419425669. The reversal of 21469419425664 is 46652491496412.

21469419425664 is a `hidden beast` number, since 2 + 1 + 4 + 69 + 4 + 1 + 9 + 4 + 2 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21469419425669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1241500602 + ... + 1241517894.

It is an arithmetic number, because the mean of its divisors is an integer number (77505222750).

Almost surely, 2^{21469419425664} is an apocalyptic number.

21469419425664 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 21469419425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39682674048000).

21469419425664 is an abundant number, since it is smaller than the sum of its proper divisors (57895928670336).

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

21469419425664 is a wasteful number, since it uses less digits than its factorization.

21469419425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452 (or 17434 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 21469419425664 in words is "twenty-one trillion, four hundred sixty-nine billion, four hundred nineteen million, four hundred twenty-five thousand, six hundred sixty-four".