352471385952 has 480 divisors, whose sum is σ = 1220831377920. Its totient is φ = 97664071680.

The previous prime is 352471385921. The next prime is 352471385957. The reversal of 352471385952 is 259583174253.

352471385952 is a `hidden beast` number, since 3 + 5 + 2 + 47 + 1 + 3 + 8 + 595 + 2 = 666.

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 (352471385957) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133157493 + ... + 133160139.

It is an arithmetic number, because the mean of its divisors is an integer number (2543398704).

Almost surely, 2^352471385952 is an apocalyptic number.

352471385952 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 352471385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610415688960).

352471385952 is an abundant number, since it is smaller than the sum of its proper divisors (868359991968).

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

352471385952 is a wasteful number, since it uses less digits than its factorization.

352471385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2879 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 352471385952 in words is "three hundred fifty-two billion, four hundred seventy-one million, three hundred eighty-five thousand, nine hundred fifty-two".