4703661946368 has 1920 divisors, whose sum is σ = 18708105461760. Its totient is φ = 1100832768000.

The previous prime is 4703661946309. The next prime is 4703661946369. The reversal of 4703661946368 is 8636491663074.

4703661946368 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 6 + 619 + 4 + 6 + 3 + 6 + 8 = 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 (4703661946369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14838050146 + ... + 14838050462.

It is an arithmetic number, because the mean of its divisors is an integer number (9743804928).

Almost surely, 2^{4703661946368} is an apocalyptic number.

4703661946368 is a gapful number since it is divisible by the number (48) 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 4703661946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354052730880).

4703661946368 is an abundant number, since it is smaller than the sum of its proper divisors (14004443515392).

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

4703661946368 is a wasteful number, since it uses less digits than its factorization.

4703661946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 4703661946368 in words is "four trillion, seven hundred three billion, six hundred sixty-one million, nine hundred forty-six thousand, three hundred sixty-eight".