21418620314112 has 640 divisors, whose sum is σ = 74873779200000. Its totient is φ = 6042036768768.

The previous prime is 21418620314027. The next prime is 21418620314159. The reversal of 21418620314112 is 21141302681412.

21418620314112 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 8 + 620 + 3 + 14 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 374560339 + ... + 374617517.

It is an arithmetic number, because the mean of its divisors is an integer number (116990280000).

Almost surely, 2^{21418620314112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21418620314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37436889600000).

21418620314112 is an abundant number, since it is smaller than the sum of its proper divisors (53455158885888).

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

21418620314112 is an frugal number, since it uses more digits than its factorization.

21418620314112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57306 (or 57270 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 21418620314112 its reverse (21141302681412), we get a palindrome (42559922995524).

The spelling of 21418620314112 in words is "twenty-one trillion, four hundred eighteen billion, six hundred twenty million, three hundred fourteen thousand, one hundred twelve".