346145132911248 has 480 divisors, whose sum is σ = 1161200764144512. Its totient is φ = 98654074675200.

The previous prime is 346145132911211. The next prime is 346145132911271. The reversal of 346145132911248 is 842119231541643.

346145132911248 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 4 + 513 + 2 + 9 + 112 + 4 + 8 = 666.

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 = 346145132911194 and 346145132911203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056248538 + ... + 1056576198.

Almost surely, 2^{346145132911248} 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 346145132911248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580600382072256).

346145132911248 is an abundant number, since it is smaller than the sum of its proper divisors (815055631233264).

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

346145132911248 is a wasteful number, since it uses less digits than its factorization.

346145132911248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329165 (or 329147 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 346145132911248 in words is "three hundred forty-six trillion, one hundred forty-five billion, one hundred thirty-two million, nine hundred eleven thousand, two hundred forty-eight".