352011060385152 has 256 divisors, whose sum is σ = 1127597678400000. Its totient is φ = 95048222294016.

The previous prime is 352011060385147. The next prime is 352011060385157. The reversal of 352011060385152 is 251583060110253.

It is an interprime number because it is at equal distance from previous prime (352011060385147) and next prime (352011060385157).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352011060385157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12462474 + ... + 29314422.

It is an arithmetic number, because the mean of its divisors is an integer number (4404678431250).

Almost surely, 2^{352011060385152} is an apocalyptic number.

352011060385152 is a gapful number since it is divisible by the number (32) 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 352011060385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563798839200000).

352011060385152 is an abundant number, since it is smaller than the sum of its proper divisors (775586618014848).

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

352011060385152 is a wasteful number, since it uses less digits than its factorization.

352011060385152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852401 (or 16852389 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 352011060385152 in words is "three hundred fifty-two trillion, eleven billion, sixty million, three hundred eighty-five thousand, one hundred fifty-two".