63048086002134 has 384 divisors, whose sum is σ = 153682646906880. Its totient is φ = 18590376960000.

The previous prime is 63048086002133. The next prime is 63048086002147. The reversal of 63048086002134 is 43120068084036.

63048086002134 is a `hidden beast` number, since 6 + 3 + 0 + 4 + 8 + 0 + 8 + 600 + 2 + 1 + 34 = 666.

It is a super-4 number, since 4×63048086002134⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 63048086002134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63048086002133) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20856130147 + ... + 20856133169.

It is an arithmetic number, because the mean of its divisors is an integer number (400215226320).

Almost surely, 2^{63048086002134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63048086002134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76841323453440).

63048086002134 is an abundant number, since it is smaller than the sum of its proper divisors (90634560904746).

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

63048086002134 is a wasteful number, since it uses less digits than its factorization.

63048086002134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 63048086002134 in words is "sixty-three trillion, forty-eight billion, eighty-six million, two thousand, one hundred thirty-four".