171153139268832 has 768 divisors, whose sum is σ = 584840400076800. Its totient is φ = 43591855104000.

The previous prime is 171153139268831. The next prime is 171153139268887. The reversal of 171153139268832 is 238862931351171.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171153139268831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 815488707 + ... + 815698557.

It is an arithmetic number, because the mean of its divisors is an integer number (761510937600).

Almost surely, 2^{171153139268832} is an apocalyptic number.

171153139268832 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 171153139268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292420200038400).

171153139268832 is an abundant number, since it is smaller than the sum of its proper divisors (413687260807968).

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

171153139268832 is a wasteful number, since it uses less digits than its factorization.

171153139268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209980 (or 209958 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 171153139268832 in words is "one hundred seventy-one trillion, one hundred fifty-three billion, one hundred thirty-nine million, two hundred sixty-eight thousand, eight hundred thirty-two".