20343656129472 has 1008 divisors, whose sum is σ = 67179683450880. Its totient is φ = 6099129114624.

The previous prime is 20343656129453. The next prime is 20343656129479. The reversal of 20343656129472 is 27492165634302.

20343656129472 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 3 + 6 + 561 + 2 + 9 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20343656129479) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19693761468 + ... + 19693762500.

It is an arithmetic number, because the mean of its divisors is an integer number (66646511360).

Almost surely, 2^{20343656129472} 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 20343656129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33589841725440).

20343656129472 is an abundant number, since it is smaller than the sum of its proper divisors (46836027321408).

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

20343656129472 is a wasteful number, since it uses less digits than its factorization.

20343656129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 20343656129472 in words is "twenty trillion, three hundred forty-three billion, six hundred fifty-six million, one hundred twenty-nine thousand, four hundred seventy-two".