21463766471200 has 144 divisors (see below), whose sum is σ = 52534939111200. Its totient is φ = 8563152568320.

The previous prime is 21463766471113. The next prime is 21463766471227. The reversal of 21463766471200 is 217466736412.

It is a super-2 number, since 2×21463766471200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1101656659 + ... + 1101676141.

It is an arithmetic number, because the mean of its divisors is an integer number (364825966050).

Almost surely, 2^{21463766471200} is an apocalyptic number.

21463766471200 is a gapful number since it is divisible by the number (20) 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 21463766471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26267469555600).

21463766471200 is an abundant number, since it is smaller than the sum of its proper divisors (31071172640000).

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

21463766471200 is a wasteful number, since it uses less digits than its factorization.

21463766471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019 (or 23006 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 21463766471200 in words is "twenty-one trillion, four hundred sixty-three billion, seven hundred sixty-six million, four hundred seventy-one thousand, two hundred".