21464679164544 has 768 divisors, whose sum is σ = 78352350485760. Its totient is φ = 5478108364800.

The previous prime is 21464679164507. The next prime is 21464679164549. The reversal of 21464679164544 is 44546197646412.

21464679164544 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 4 + 6 + 79 + 16 + 4 + 544 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21464679164549) 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, 8078538064 + ... + 8078540720.

It is an arithmetic number, because the mean of its divisors is an integer number (102021289695).

Almost surely, 2^{21464679164544} is an apocalyptic number.

21464679164544 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 21464679164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39176175242880).

21464679164544 is an abundant number, since it is smaller than the sum of its proper divisors (56887671321216).

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

21464679164544 is a wasteful number, since it uses less digits than its factorization.

21464679164544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4234 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 21464679164544 in words is "twenty-one trillion, four hundred sixty-four billion, six hundred seventy-nine million, one hundred sixty-four thousand, five hundred forty-four".