8050038000048 has 240 divisors, whose sum is σ = 25656441168384. Its totient is φ = 2332355773440.

The previous prime is 8050037999981. The next prime is 8050038000061. The reversal of 8050038000048 is 8400008300508.

8050038000048 is a `hidden beast` number, since 80 + 500 + 38 + 0 + 0 + 0 + 0 + 48 = 666.

It is a super-2 number, since 2×8050038000048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8050037999976 and 8050038000021.

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, 88229140 + ... + 88320332.

Almost surely, 2^{8050038000048} is an apocalyptic number.

8050038000048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8050038000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828220584192).

8050038000048 is an abundant number, since it is smaller than the sum of its proper divisors (17606403168336).

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

8050038000048 is a wasteful number, since it uses less digits than its factorization.

8050038000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93664 (or 93655 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 8050038000048 in words is "eight trillion, fifty billion, thirty-eight million, forty-eight", and thus it is an aban number and an uban number.