345643596144 has 640 divisors, whose sum is σ = 1295094251520. Its totient is φ = 85639680000.

The previous prime is 345643596119. The next prime is 345643596157. The reversal of 345643596144 is 441695346543.

345643596144 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 4 + 3 + 596 + 1 + 44 = 666.

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 127 ways as a sum of consecutive naturals, for example, 73211704 + ... + 73216424.

It is an arithmetic number, because the mean of its divisors is an integer number (2023584768).

Almost surely, 2^345643596144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345643596144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647547125760).

345643596144 is an abundant number, since it is smaller than the sum of its proper divisors (949450655376).

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

345643596144 is a wasteful number, since it uses less digits than its factorization.

345643596144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4846 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 345643596144 in words is "three hundred forty-five billion, six hundred forty-three million, five hundred ninety-six thousand, one hundred forty-four".