48071375616 has 576 divisors, whose sum is σ = 152828669952. Its totient is φ = 13381632000.

The previous prime is 48071375603. The next prime is 48071375617. The reversal of 48071375616 is 61657317084.

It is a super-3 number, since 3×48071375616³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (48071375617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1172472556 + ... + 1172472596.

It is an arithmetic number, because the mean of its divisors is an integer number (265327552).

Almost surely, 2^48071375616 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 48071375616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76414334976).

48071375616 is an abundant number, since it is smaller than the sum of its proper divisors (104757294336).

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

48071375616 is a wasteful number, since it uses less digits than its factorization.

48071375616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

It can be divided in two parts, 4807137 and 5616, that added together give a triangular number (4812753 = T₃₁₀₂).

The spelling of 48071375616 in words is "forty-eight billion, seventy-one million, three hundred seventy-five thousand, six hundred sixteen".