352144559160 has 512 divisors, whose sum is σ = 1211656320000. Its totient is φ = 90946437120.

The previous prime is 352144559149. The next prime is 352144559177. The reversal of 352144559160 is 61955441253.

It is a happy number.

352144559160 is a `hidden beast` number, since 3 + 5 + 2 + 14 + 45 + 591 + 6 + 0 = 666.

It is a super-3 number, since 3×352144559160³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1668931455 + ... + 1668931665.

It is an arithmetic number, because the mean of its divisors is an integer number (2366516250).

Almost surely, 2^352144559160 is an apocalyptic number.

352144559160 is a gapful number since it is divisible by the number (30) 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 352144559160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605828160000).

352144559160 is an abundant number, since it is smaller than the sum of its proper divisors (859511760840).

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

352144559160 is a wasteful number, since it uses less digits than its factorization.

352144559160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 352144559160 in words is "three hundred fifty-two billion, one hundred forty-four million, five hundred fifty-nine thousand, one hundred sixty".