4736345313168 has 720 divisors, whose sum is σ = 16966167429120. Its totient is φ = 1271800196352.

The previous prime is 4736345313053. The next prime is 4736345313169. The reversal of 4736345313168 is 8613135436374.

It is a happy number.

4736345313168 is a `hidden beast` number, since 4 + 73 + 6 + 3 + 4 + 531 + 31 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4736345313169) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459700305 + ... + 459710607.

Almost surely, 2^{4736345313168} is an apocalyptic number.

4736345313168 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 4736345313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483083714560).

4736345313168 is an abundant number, since it is smaller than the sum of its proper divisors (12229822115952).

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

4736345313168 is a wasteful number, since it uses less digits than its factorization.

4736345313168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10486 (or 10461 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 4736345313168 in words is "four trillion, seven hundred thirty-six billion, three hundred forty-five million, three hundred thirteen thousand, one hundred sixty-eight".