172045657344 has 144 divisors (see below), whose sum is σ = 506976099840. Its totient is φ = 51356743680.

The previous prime is 172045657337. The next prime is 172045657351. The reversal of 172045657344 is 443756540271.

It is an interprime number because it is at equal distance from previous prime (172045657337) and next prime (172045657351).

It is a super-2 number, since 2×172045657344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 172045657293 and 172045657302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414037 + ... + 717995.

It is an arithmetic number, because the mean of its divisors is an integer number (3520667360).

Almost surely, 2^172045657344 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 172045657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253488049920).

172045657344 is an abundant number, since it is smaller than the sum of its proper divisors (334930442496).

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

172045657344 is a wasteful number, since it uses less digits than its factorization.

172045657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304056 (or 304042 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 172045657344 in words is "one hundred seventy-two billion, forty-five million, six hundred fifty-seven thousand, three hundred forty-four".