48101613000 has 256 divisors, whose sum is σ = 171746265600. Its totient is φ = 10979942400.

The previous prime is 48101612987. The next prime is 48101613023. The reversal of 48101613000 is 31610184.

It is a super-3 number, since 3×48101613000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27068112 + ... + 27069888.

It is an arithmetic number, because the mean of its divisors is an integer number (670883850).

Almost surely, 2^48101613000 is an apocalyptic number.

48101613000 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 48101613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85873132800).

48101613000 is an abundant number, since it is smaller than the sum of its proper divisors (123644652600).

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

48101613000 is a wasteful number, since it uses less digits than its factorization.

48101613000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 48101613000 in words is "forty-eight billion, one hundred one million, six hundred thirteen thousand".