8258049138528 has 432 divisors, whose sum is σ = 29857944864384. Its totient is φ = 2149016002560.

The previous prime is 8258049138431. The next prime is 8258049138529. The reversal of 8258049138528 is 8258319408528.

8258049138528 is a `hidden beast` number, since 8 + 2 + 58 + 0 + 49 + 13 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8258049138529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6881826 + ... + 7992222.

It is an arithmetic number, because the mean of its divisors is an integer number (69115613112).

Almost surely, 2^{8258049138528} 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 8258049138528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928972432192).

8258049138528 is an abundant number, since it is smaller than the sum of its proper divisors (21599895725856).

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

8258049138528 is a wasteful number, since it uses less digits than its factorization.

8258049138528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110475 (or 1110457 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 8258049138528 in words is "eight trillion, two hundred fifty-eight billion, forty-nine million, one hundred thirty-eight thousand, five hundred twenty-eight".