172952389456 has 160 divisors (see below), whose sum is σ = 452646171648. Its totient is φ = 61945067520.

The previous prime is 172952389433. The next prime is 172952389459. The reversal of 172952389456 is 654983259271.

It is a junction number, because it is equal to n+sod(n) for n = 172952389394 and 172952389403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172952389459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804571 + ... + 996613.

Almost surely, 2^172952389456 is an apocalyptic number.

172952389456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172952389456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226323085824).

172952389456 is an abundant number, since it is smaller than the sum of its proper divisors (279693782192).

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

172952389456 is a wasteful number, since it uses less digits than its factorization.

172952389456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192129 (or 192123 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 61.

The spelling of 172952389456 in words is "one hundred seventy-two billion, nine hundred fifty-two million, three hundred eighty-nine thousand, four hundred fifty-six".