345110469480 has 960 divisors, whose sum is σ = 1424100458880. Its totient is φ = 73399219200.

The previous prime is 345110469383. The next prime is 345110469491. The reversal of 345110469480 is 84964011543.

345110469480 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 104 + 69 + 480 = 666.

It is a super-2 number, since 2×345110469480² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 499435935 + ... + 499436625.

It is an arithmetic number, because the mean of its divisors is an integer number (1483437978).

Almost surely, 2^345110469480 is an apocalyptic number.

345110469480 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 345110469480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712050229440).

345110469480 is an abundant number, since it is smaller than the sum of its proper divisors (1078989989400).

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

345110469480 is a wasteful number, since it uses less digits than its factorization.

345110469480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 345110469480 in words is "three hundred forty-five billion, one hundred ten million, four hundred sixty-nine thousand, four hundred eighty".