352770248540160 has 864 divisors, whose sum is σ = 1335290759449920. Its totient is φ = 85444263936000.

The previous prime is 352770248540141. The next prime is 352770248540167. The reversal of 352770248540160 is 61045842077253.

352770248540160 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 70 + 24 + 8 + 540 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×352770248540160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352770248540097 and 352770248540106.

It is not an unprimeable number, because it can be changed into a prime (352770248540167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116850031131 + ... + 116850034149.

It is an arithmetic number, because the mean of its divisors is an integer number (1545475416030).

Almost surely, 2^{352770248540160} is an apocalyptic number.

352770248540160 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 352770248540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667645379724960).

352770248540160 is an abundant number, since it is smaller than the sum of its proper divisors (982520510909760).

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

352770248540160 is a wasteful number, since it uses less digits than its factorization.

352770248540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 352770248540160 in words is "three hundred fifty-two trillion, seven hundred seventy billion, two hundred forty-eight million, five hundred forty thousand, one hundred sixty".