6346545162048 has 2240 divisors, whose sum is σ = 25241243123712. Its totient is φ = 1531272314880.

The previous prime is 6346545162007. The next prime is 6346545162053. The reversal of 6346545162048 is 8402615456436.

6346545162048 is a `hidden beast` number, since 6 + 3 + 4 + 6 + 5 + 4 + 5 + 1 + 620 + 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 = 6346545161985 and 6346545162003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28459843665 + ... + 28459843887.

Almost surely, 2^{6346545162048} 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 6346545162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620621561856).

6346545162048 is an abundant number, since it is smaller than the sum of its proper divisors (18894697961664).

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

6346545162048 is a wasteful number, since it uses less digits than its factorization.

6346545162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 6346545162048 in words is "six trillion, three hundred forty-six billion, five hundred forty-five million, one hundred sixty-two thousand, forty-eight".