21234745706000 has 40 divisors (see below), whose sum is σ = 51345615121944. Its totient is φ = 8493898281600.

The previous prime is 21234745705973. The next prime is 21234745706011. The reversal of 21234745706000 is 60754743212.

It can be written as a sum of positive squares in 4 ways, for example, as 1805551189264 + 19429194516736 = 1343708^2 + 4407856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 5308684427 + ... + 5308688426.

Almost surely, 2^{21234745706000} is an apocalyptic number.

21234745706000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21234745706000 is an abundant number, since it is smaller than the sum of its proper divisors (30110869415944).

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

21234745706000 is a wasteful number, since it uses less digits than its factorization.

21234745706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617372876 (or 10617372860 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 21234745706000 in words is "twenty-one trillion, two hundred thirty-four billion, seven hundred forty-five million, seven hundred six thousand".