3463805463048 has 320 divisors, whose sum is σ = 11130598955520. Its totient is φ = 985850611200.

The previous prime is 3463805463043. The next prime is 3463805463071. The reversal of 3463805463048 is 8403645083643.

3463805463048 is a `hidden beast` number, since 3 + 4 + 63 + 8 + 0 + 546 + 30 + 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 = 3463805462985 and 3463805463003.

It is not an unprimeable number, because it can be changed into a prime (3463805463043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2136831678 + ... + 2136833298.

It is an arithmetic number, because the mean of its divisors is an integer number (34783121736).

Almost surely, 2^{3463805463048} 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 3463805463048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565299477760).

3463805463048 is an abundant number, since it is smaller than the sum of its proper divisors (7666793492472).

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

3463805463048 is a wasteful number, since it uses less digits than its factorization.

3463805463048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3463805463048 in words is "three trillion, four hundred sixty-three billion, eight hundred five million, four hundred sixty-three thousand, forty-eight".