352400545314 has 48 divisors (see below), whose sum is σ = 808495994592. Its totient is φ = 110550513024.

The previous prime is 352400545307. The next prime is 352400545327. The reversal of 352400545314 is 413545004253.

352400545314 is a `hidden beast` number, since 35 + 2 + 40 + 0 + 54 + 531 + 4 = 666.

It is a super-2 number, since 2×352400545314² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9958857 + ... + 9994179.

It is an arithmetic number, because the mean of its divisors is an integer number (16843666554).

Almost surely, 2^352400545314 is an apocalyptic number.

352400545314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

352400545314 is an abundant number, since it is smaller than the sum of its proper divisors (456095449278).

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

352400545314 is a wasteful number, since it uses less digits than its factorization.

352400545314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67951 (or 67948 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 352400545314 its reverse (413545004253), we get a palindrome (765945549567).

The spelling of 352400545314 in words is "three hundred fifty-two billion, four hundred million, five hundred forty-five thousand, three hundred fourteen".