172083675456 has 756 divisors, whose sum is σ = 646588493460. Its totient is φ = 43571404800.

The previous prime is 172083675409. The next prime is 172083675461. The reversal of 172083675456 is 654576380271.

172083675456 is a `hidden beast` number, since 17 + 2 + 0 + 83 + 6 + 7 + 545 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95243835456 + 76839840000 = 308616^2 + 277200^2 .

It is a super-2 number, since 2×172083675456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 140018650 + ... + 140019878.

It is an arithmetic number, because the mean of its divisors is an integer number (855275785).

Almost surely, 2^172083675456 is an apocalyptic number.

172083675456 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 172083675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323294246730).

172083675456 is an abundant number, since it is smaller than the sum of its proper divisors (474504818004).

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

172083675456 is a wasteful number, since it uses less digits than its factorization.

172083675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 172083675456 in words is "one hundred seventy-two billion, eighty-three million, six hundred seventy-five thousand, four hundred fifty-six".