345459263040 has 448 divisors, whose sum is σ = 1297050796800. Its totient is φ = 86256156672.

The previous prime is 345459262937. The next prime is 345459263047. The reversal of 345459263040 is 40362954543.

345459263040 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 5 + 9 + 2 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345459263047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28929391 + ... + 28941329.

Almost surely, 2^345459263040 is an apocalyptic number.

345459263040 is a gapful number since it is divisible by the number (30) 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 345459263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648525398400).

345459263040 is an abundant number, since it is smaller than the sum of its proper divisors (951591533760).

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

345459263040 is a wasteful number, since it uses less digits than its factorization.

345459263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12179 (or 12163 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 345459263040 in words is "three hundred forty-five billion, four hundred fifty-nine million, two hundred sixty-three thousand, forty".