21462774000864 has 576 divisors, whose sum is σ = 71105647253760. Its totient is φ = 5632849797120.

The previous prime is 21462774000847. The next prime is 21462774000869. The reversal of 21462774000864 is 46800047726412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21462774000869) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 597281842 + ... + 597317774.

It is an arithmetic number, because the mean of its divisors is an integer number (123447304260).

Almost surely, 2^{21462774000864} is an apocalyptic number.

21462774000864 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 21462774000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35552823626880).

21462774000864 is an abundant number, since it is smaller than the sum of its proper divisors (49642873252896).

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

21462774000864 is a wasteful number, since it uses less digits than its factorization.

21462774000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36183 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 21462774000864 in words is "twenty-one trillion, four hundred sixty-two billion, seven hundred seventy-four million, eight hundred sixty-four", and thus it is an aban number.