348556624416 has 1536 divisors, whose sum is σ = 1464107581440. Its totient is φ = 77635584000.

The previous prime is 348556624397. The next prime is 348556624441. The reversal of 348556624416 is 614426655843.

348556624416 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 5 + 6 + 624 + 4 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2220105810 + ... + 2220105966.

It is an arithmetic number, because the mean of its divisors is an integer number (953195040).

Almost surely, 2^348556624416 is an apocalyptic number.

348556624416 is a gapful number since it is divisible by the number (36) 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 348556624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732053790720).

348556624416 is an abundant number, since it is smaller than the sum of its proper divisors (1115550957024).

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

348556624416 is a wasteful number, since it uses less digits than its factorization.

348556624416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 348556624416 in words is "three hundred forty-eight billion, five hundred fifty-six million, six hundred twenty-four thousand, four hundred sixteen".