352254418560 has 768 divisors, whose sum is σ = 1442009088000. Its totient is φ = 78282547200.

The previous prime is 352254418519. The next prime is 352254418573. The reversal of 352254418560 is 65814452253.

352254418560 is a `hidden beast` number, since 3 + 5 + 22 + 54 + 4 + 18 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 37314321 + ... + 37323759.

It is an arithmetic number, because the mean of its divisors is an integer number (1877616000).

Almost surely, 2^352254418560 is an apocalyptic number.

352254418560 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 352254418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721004544000).

352254418560 is an abundant number, since it is smaller than the sum of its proper divisors (1089754669440).

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

352254418560 is a wasteful number, since it uses less digits than its factorization.

352254418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 352254418560 in words is "three hundred fifty-two billion, two hundred fifty-four million, four hundred eighteen thousand, five hundred sixty".