345142784448 has 672 divisors, whose sum is σ = 1278497206272. Its totient is φ = 86394470400.

The previous prime is 345142784443. The next prime is 345142784543. The reversal of 345142784448 is 844487241543.

345142784448 is a `hidden beast` number, since 3 + 4 + 514 + 2 + 7 + 84 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 345142784394 and 345142784403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345142784443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512841840 + ... + 512842512.

Almost surely, 2^345142784448 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 345142784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639248603136).

345142784448 is an abundant number, since it is smaller than the sum of its proper divisors (933354421824).

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

345142784448 is a wasteful number, since it uses less digits than its factorization.

345142784448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

The spelling of 345142784448 in words is "three hundred forty-five billion, one hundred forty-two million, seven hundred eighty-four thousand, four hundred forty-eight".