172789961456 has 60 divisors (see below), whose sum is σ = 396786592872. Its totient is φ = 72655599744.

The previous prime is 172789961453. The next prime is 172789961497. The reversal of 172789961456 is 654169987271.

It is a junction number, because it is equal to n+sod(n) for n = 172789961392 and 172789961401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172789961453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2037650 + ... + 2120753.

Almost surely, 2^172789961456 is an apocalyptic number.

172789961456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

172789961456 is an abundant number, since it is smaller than the sum of its proper divisors (223996631416).

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

172789961456 is a wasteful number, since it uses less digits than its factorization.

172789961456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158478 (or 4158465 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 65.

The spelling of 172789961456 in words is "one hundred seventy-two billion, seven hundred eighty-nine million, nine hundred sixty-one thousand, four hundred fifty-six".