20147673595456 has 105 divisors (see below), whose sum is σ = 43987806961345. Its totient is φ = 9156058461440.

The previous prime is 20147673595397. The next prime is 20147673595459. The reversal of 20147673595456 is 65459537674102.

The square root of 20147673595456 is 4488616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5065200360000 + 15082473235456 = 2250600^2 + 3883616^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20147673595459) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4344977970 + ... + 4344982606.

Almost surely, 2^{20147673595456} is an apocalyptic number.

20147673595456 is the 4488616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20147673595456

20147673595456 is an abundant number, since it is smaller than the sum of its proper divisors (23840133365889).

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

20147673595456 is an frugal number, since it uses more digits than its factorization.

20147673595456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 64.

20147673595456 divided by its sum of digits (64) gives a square (314807399929 = 561077²).

The spelling of 20147673595456 in words is "twenty trillion, one hundred forty-seven billion, six hundred seventy-three million, five hundred ninety-five thousand, four hundred fifty-six".