162349144473600 has 4536 divisors, whose sum is σ = 749301655452840. Its totient is φ = 34673723965440.

The previous prime is 162349144473539. The next prime is 162349144473601. The reversal of 162349144473600 is 6374441943261.

162349144473600 is a `hidden beast` number, since 1 + 6 + 23 + 4 + 9 + 1 + 4 + 4 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a super-2 number, since 2×162349144473600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162349144473601) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2223960883164 + ... + 2223960883236.

It is an arithmetic number, because the mean of its divisors is an integer number (165189959315).

Almost surely, 2^{162349144473600} is an apocalyptic number.

162349144473600 is a gapful number since it is divisible by the number (10) 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 162349144473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374650827726420).

162349144473600 is an abundant number, since it is smaller than the sum of its proper divisors (586952510979240).

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

162349144473600 is an frugal number, since it uses more digits than its factorization.

162349144473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 162349144473600 in words is "one hundred sixty-two trillion, three hundred forty-nine billion, one hundred forty-four million, four hundred seventy-three thousand, six hundred".