345120896448 has 70 divisors (see below), whose sum is σ = 1023046469016. Its totient is φ = 115040297088.

The previous prime is 345120896411. The next prime is 345120896531. The reversal of 345120896448 is 844698021543.

345120896448 is a `hidden beast` number, since 3 + 4 + 512 + 0 + 89 + 6 + 4 + 48 = 666.

It is a super-2 number, since 2×345120896448² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 345120896394 and 345120896403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 33281940 + ... + 33292307.

Almost surely, 2^345120896448 is an apocalyptic number.

It is an amenable number.

345120896448 is an abundant number, since it is smaller than the sum of its proper divisors (677925572568).

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

345120896448 is an equidigital number, since it uses as much as digits as its factorization.

345120896448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66574271 (or 66574252 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 345120896448 in words is "three hundred forty-five billion, one hundred twenty million, eight hundred ninety-six thousand, four hundred forty-eight".