4845975615936 has 560 divisors, whose sum is σ = 17878793929920. Its totient is φ = 1263688335360.

The previous prime is 4845975615881. The next prime is 4845975615937. The reversal of 4845975615936 is 6395165795484.

It is a happy number.

4845975615936 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 9 + 7 + 561 + 59 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845975615937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41927506 + ... + 42042926.

It is an arithmetic number, because the mean of its divisors is an integer number (31926417732).

Almost surely, 2^{4845975615936} 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 4845975615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939396964960).

4845975615936 is an abundant number, since it is smaller than the sum of its proper divisors (13032818313984).

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

4845975615936 is a wasteful number, since it uses less digits than its factorization.

4845975615936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115554 (or 115535 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 4845975615936 in words is "four trillion, eight hundred forty-five billion, nine hundred seventy-five million, six hundred fifteen thousand, nine hundred thirty-six".