4768146807381 has 32 divisors (see below), whose sum is σ = 7163760240000. Its totient is φ = 3134041663104.

The previous prime is 4768146807343. The next prime is 4768146807401. The reversal of 4768146807381 is 1837086418674.

4768146807381 is a `hidden beast` number, since 47 + 68 + 1 + 468 + 0 + 73 + 8 + 1 = 666.

It is not a de Polignac number, because 4768146807381 - 2⁶ = 4768146807317 is a prime.

It is a super-2 number, since 2×4768146807381² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768146809381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004115 + ... + 3681408.

It is an arithmetic number, because the mean of its divisors is an integer number (223867507500).

Almost surely, 2^{4768146807381} is an apocalyptic number.

It is an amenable number.

4768146807381 is a deficient number, since it is larger than the sum of its proper divisors (2395613432619).

4768146807381 is a wasteful number, since it uses less digits than its factorization.

4768146807381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685970 (or 5685964 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 4768146807381 in words is "four trillion, seven hundred sixty-eight billion, one hundred forty-six million, eight hundred seven thousand, three hundred eighty-one".