352645418333520 has 2400 divisors, whose sum is σ = 1392684473917440. Its totient is φ = 82567772651520.

The previous prime is 352645418333479. The next prime is 352645418333627. The reversal of 352645418333520 is 25333814546253.

352645418333520 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 4 + 5 + 4 + 1 + 83 + 33 + 520 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 580964445057 + ... + 580964445663.

Almost surely, 2^{352645418333520} is an apocalyptic number.

352645418333520 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 352645418333520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696342236958720).

352645418333520 is an abundant number, since it is smaller than the sum of its proper divisors (1040039055583920).

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

352645418333520 is a wasteful number, since it uses less digits than its factorization.

352645418333520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 352645418333520 in words is "three hundred fifty-two trillion, six hundred forty-five billion, four hundred eighteen million, three hundred thirty-three thousand, five hundred twenty".