4735167489936 has 675 divisors, whose sum is σ = 15280995378831. Its totient is φ = 1368714267648.

The previous prime is 4735167489931. The next prime is 4735167489991. The reversal of 4735167489936 is 6399847615374.

The square root of 4735167489936 is 2176044.

It is a perfect power (a square), and thus also a powerful number.

4735167489936 is a `hidden beast` number, since 4 + 7 + 3 + 51 + 6 + 7 + 489 + 93 + 6 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 4317003507600 + 418163982336 = 2077740^2 + 646656^2 .

It is a super-2 number, since 2×4735167489936² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (823011840) is a multiple of the sum of its prime divisors (84).

It is not an unprimeable number, because it can be changed into a prime (4735167489931) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 127977499710 + ... + 127977499746.

Almost surely, 2^{4735167489936} is an apocalyptic number.

4735167489936 is the 2176044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4735167489936

4735167489936 is an abundant number, since it is smaller than the sum of its proper divisors (10545827888895).

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

4735167489936 is an equidigital number, since it uses as much as digits as its factorization.

4735167489936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 84 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 4735167489936 in words is "four trillion, seven hundred thirty-five billion, one hundred sixty-seven million, four hundred eighty-nine thousand, nine hundred thirty-six".