21114156672 has 768 divisors, whose sum is σ = 78363417600. Its totient is φ = 5317853184.

The previous prime is 21114156667. The next prime is 21114156703. The reversal of 21114156672 is 27665141112.

21114156672 is a `hidden beast` number, since 2 + 11 + 14 + 1 + 566 + 72 = 666.

It is a super-2 number, since 2×21114156672² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186850888 + ... + 186851000.

It is an arithmetic number, because the mean of its divisors is an integer number (102035700).

Almost surely, 2^21114156672 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 21114156672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39181708800).

21114156672 is an abundant number, since it is smaller than the sum of its proper divisors (57249260928).

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

21114156672 is a wasteful number, since it uses less digits than its factorization.

21114156672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

Adding to 21114156672 its reverse (27665141112), we get a palindrome (48779297784).

The spelling of 21114156672 in words is "twenty-one billion, one hundred fourteen million, one hundred fifty-six thousand, six hundred seventy-two".