4981307175936 has 1760 divisors, whose sum is σ = 19263311513600. Its totient is φ = 1246946918400.

The previous prime is 4981307175931. The next prime is 4981307175991. The reversal of 4981307175936 is 6395717031894.

4981307175936 is a `hidden beast` number, since 4 + 9 + 8 + 1 + 30 + 7 + 1 + 7 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4981307175931) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 14273086290 + ... + 14273086638.

It is an arithmetic number, because the mean of its divisors is an integer number (10945063360).

Almost surely, 2^{4981307175936} 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 4981307175936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631655756800).

4981307175936 is an abundant number, since it is smaller than the sum of its proper divisors (14282004337664).

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

4981307175936 is a wasteful number, since it uses less digits than its factorization.

4981307175936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 4981307175936 in words is "four trillion, nine hundred eighty-one billion, three hundred seven million, one hundred seventy-five thousand, nine hundred thirty-six".