352144257660 has 288 divisors, whose sum is σ = 1172225134080. Its totient is φ = 85038460416.

The previous prime is 352144257659. The next prime is 352144257761. The reversal of 352144257660 is 66752441253.

352144257660 is a `hidden beast` number, since 3 + 5 + 2 + 14 + 4 + 2 + 576 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 75516489 + ... + 75521151.

It is an arithmetic number, because the mean of its divisors is an integer number (4070226160).

Almost surely, 2^352144257660 is an apocalyptic number.

352144257660 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 352144257660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586112567040).

352144257660 is an abundant number, since it is smaller than the sum of its proper divisors (820080876420).

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

352144257660 is a wasteful number, since it uses less digits than its factorization.

352144257660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 352144257660 in words is "three hundred fifty-two billion, one hundred forty-four million, two hundred fifty-seven thousand, six hundred sixty".