172198914048 has 432 divisors, whose sum is σ = 594292329540. Its totient is φ = 47860678656.

The previous prime is 172198914029. The next prime is 172198914067. The reversal of 172198914048 is 840419891271.

172198914048 is a `hidden beast` number, since 17 + 219 + 8 + 9 + 1 + 404 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (172198914029) and next prime (172198914067).

It can be written as a sum of positive squares in 2 ways, for example, as 157729711104 + 14469202944 = 397152^2 + 120288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 172198913985 and 172198914003.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33414640 + ... + 33419792.

Almost surely, 2^172198914048 is an apocalyptic number.

172198914048 is a gapful number since it is divisible by the number (18) 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 172198914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297146164770).

172198914048 is an abundant number, since it is smaller than the sum of its proper divisors (422093415492).

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

172198914048 is a wasteful number, since it uses less digits than its factorization.

172198914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 172198914048 in words is "one hundred seventy-two billion, one hundred ninety-eight million, nine hundred fourteen thousand, forty-eight".