4738011638472 has 256 divisors, whose sum is σ = 15789680640000. Its totient is φ = 1287844323840.

The previous prime is 4738011638453. The next prime is 4738011638491. The reversal of 4738011638472 is 2748361108374.

4738011638472 is a `hidden beast` number, since 4 + 7 + 3 + 8 + 0 + 1 + 163 + 8 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (4738011638453) and next prime (4738011638491).

It is a super-2 number, since 2×4738011638472² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1908804 + ... + 3622092.

It is an arithmetic number, because the mean of its divisors is an integer number (61678440000).

Almost surely, 2^{4738011638472} is an apocalyptic number.

4738011638472 is a gapful number since it is divisible by the number (42) 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 4738011638472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894840320000).

4738011638472 is an abundant number, since it is smaller than the sum of its proper divisors (11051669001528).

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

4738011638472 is a wasteful number, since it uses less digits than its factorization.

4738011638472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713401 (or 1713391 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4738011638472 in words is "four trillion, seven hundred thirty-eight billion, eleven million, six hundred thirty-eight thousand, four hundred seventy-two".