4345758563328 has 2772 divisors, whose sum is σ = 17736892844760. Its totient is φ = 1056465027072.

The previous prime is 4345758563257. The next prime is 4345758563351. The reversal of 4345758563328 is 8233658575434.

4345758563328 is a `hidden beast` number, since 4 + 3 + 4 + 575 + 8 + 5 + 6 + 33 + 28 = 666.

4345758563328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (290304000) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 117452934126 + ... + 117452934162.

Almost surely, 2^{4345758563328} is an apocalyptic number.

4345758563328 is a gapful number since it is divisible by the number (48) 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 4345758563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868446422380).

4345758563328 is an abundant number, since it is smaller than the sum of its proper divisors (13391134281432).

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

4345758563328 is a wasteful number, since it uses less digits than its factorization.

4345758563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 81 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 4345758563328 in words is "four trillion, three hundred forty-five billion, seven hundred fifty-eight million, five hundred sixty-three thousand, three hundred twenty-eight".