172190485152 has 384 divisors, whose sum is σ = 591781478400. Its totient is φ = 47680939008.

The previous prime is 172190485127. The next prime is 172190485157. The reversal of 172190485152 is 251584091271.

172190485152 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 90 + 48 + 515 + 2 = 666.

172190485152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×172190485152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 172190485098 and 172190485107.

It is not an unprimeable number, because it can be changed into a prime (172190485157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63327249 + ... + 63329967.

It is an arithmetic number, because the mean of its divisors is an integer number (1541097600).

Almost surely, 2^172190485152 is an apocalyptic number.

172190485152 is a gapful number since it is divisible by the number (12) 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 172190485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295890739200).

172190485152 is an abundant number, since it is smaller than the sum of its proper divisors (419590993248).

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

172190485152 is a wasteful number, since it uses less digits than its factorization.

172190485152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 172190485152 in words is "one hundred seventy-two billion, one hundred ninety million, four hundred eighty-five thousand, one hundred fifty-two".