48294136576512 has 720 divisors, whose sum is σ = 153517155023232. Its totient is φ = 15144224071680.

The previous prime is 48294136576471. The next prime is 48294136576561. The reversal of 48294136576512 is 21567563149284.

It is a happy number.

48294136576512 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 4 + 1 + 3 + 6 + 576 + 51 + 2 = 666.

It is a super-2 number, since 2×48294136576512² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48294136576512.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4712997373 + ... + 4713007619.

Almost surely, 2^{48294136576512} 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 48294136576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76758577511616).

48294136576512 is an abundant number, since it is smaller than the sum of its proper divisors (105223018446720).

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

48294136576512 is an frugal number, since it uses more digits than its factorization.

48294136576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10336 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 48294136576512 in words is "forty-eight trillion, two hundred ninety-four billion, one hundred thirty-six million, five hundred seventy-six thousand, five hundred twelve".