4638972101 has 16 divisors (see below), whose sum is σ = 4794510000. Its totient is φ = 4485611520.

The previous prime is 4638972083. The next prime is 4638972161. The reversal of 4638972101 is 1012798364.

It is a Cunningham number, because it is equal to 68110²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 32092225 + 4606879876 = 5665^2 + 67874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4638972101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638972161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3713525 + ... + 3714773.

It is an arithmetic number, because the mean of its divisors is an integer number (299656875).

Almost surely, 2^4638972101 is an apocalyptic number.

4638972101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4638972101 is a deficient number, since it is larger than the sum of its proper divisors (155537899).

4638972101 is a wasteful number, since it uses less digits than its factorization.

4638972101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 4638972101 is about 68110.0000073411. Note that the first 5 decimals coincide. The cubic root of 4638972101 is about 1667.7870099609.

The spelling of 4638972101 in words is "four billion, six hundred thirty-eight million, nine hundred seventy-two thousand, one hundred one".