48836643120 has 280 divisors, whose sum is σ = 171946195632. Its totient is φ = 12892608000.

The previous prime is 48836643113. The next prime is 48836643137. The reversal of 48836643120 is 2134663884.

48836643120 is a `hidden beast` number, since 488 + 3 + 6 + 6 + 43 + 120 = 666.

It is a super-2 number, since 2×48836643120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5886175 + ... + 5894465.

Almost surely, 2^48836643120 is an apocalyptic number.

48836643120 is a gapful number since it is divisible by the number (40) 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 48836643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85973097816).

48836643120 is an abundant number, since it is smaller than the sum of its proper divisors (123109552512).

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

48836643120 is a wasteful number, since it uses less digits than its factorization.

48836643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423 (or 8402 counting only the distinct ones).

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

The spelling of 48836643120 in words is "forty-eight billion, eight hundred thirty-six million, six hundred forty-three thousand, one hundred twenty".