3462513063048 has 192 divisors, whose sum is σ = 10279790015040. Its totient is φ = 1046464445952.

The previous prime is 3462513063029. The next prime is 3462513063089. The reversal of 3462513063048 is 8403603152643.

3462513063048 is a `hidden beast` number, since 3 + 4 + 6 + 2 + 5 + 1 + 3 + 0 + 630 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3462513062994 and 3462513063012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13311211 + ... + 13568837.

It is an arithmetic number, because the mean of its divisors is an integer number (53540572995).

Almost surely, 2^{3462513063048} 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 3462513063048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139895007520).

3462513063048 is an abundant number, since it is smaller than the sum of its proper divisors (6817276951992).

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

3462513063048 is a wasteful number, since it uses less digits than its factorization.

3462513063048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257908 (or 257901 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3462513063048 in words is "three trillion, four hundred sixty-two billion, five hundred thirteen million, sixty-three thousand, forty-eight".