4763381123160 has 960 divisors, whose sum is σ = 18497639001600. Its totient is φ = 1090173427200.

The previous prime is 4763381123131. The next prime is 4763381123161. The reversal of 4763381123160 is 613211833674.

4763381123160 is a `hidden beast` number, since 4 + 7 + 633 + 8 + 1 + 1 + 2 + 3 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4763381123161) 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 239 ways as a sum of consecutive naturals, for example, 5545262811 + ... + 5545263669.

It is an arithmetic number, because the mean of its divisors is an integer number (19268373960).

Almost surely, 2^{4763381123160} is an apocalyptic number.

4763381123160 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 4763381123160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9248819500800).

4763381123160 is an abundant number, since it is smaller than the sum of its proper divisors (13734257878440).

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

4763381123160 is a wasteful number, since it uses less digits than its factorization.

4763381123160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4763381123160 in words is "four trillion, seven hundred sixty-three billion, three hundred eighty-one million, one hundred twenty-three thousand, one hundred sixty".