172199228544 has 768 divisors, whose sum is σ = 612059535360. Its totient is φ = 45431193600.

The previous prime is 172199228533. The next prime is 172199228599. The reversal of 172199228544 is 445822991271.

172199228544 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 9 + 92 + 2 + 8 + 544 = 666.

It is a super-2 number, since 2×172199228544² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543215074 + ... + 543215390.

It is an arithmetic number, because the mean of its divisors is an integer number (796952520).

Almost surely, 2^172199228544 is an apocalyptic number.

172199228544 is a gapful number since it is divisible by the number (14) 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 172199228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306029767680).

172199228544 is an abundant number, since it is smaller than the sum of its proper divisors (439860306816).

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

172199228544 is a wasteful number, since it uses less digits than its factorization.

172199228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 172199228544 in words is "one hundred seventy-two billion, one hundred ninety-nine million, two hundred twenty-eight thousand, five hundred forty-four".