4072148865 has 48 divisors (see below), whose sum is σ = 7150852800. Its totient is φ = 2143552896.

The previous prime is 4072148863. The next prime is 4072148887. The reversal of 4072148865 is 5688412704.

4072148865 is a `hidden beast` number, since 40 + 72 + 1 + 488 + 65 = 666.

It is not a de Polignac number, because 4072148865 - 2¹ = 4072148863 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4072148865.

It is not an unprimeable number, because it can be changed into a prime (4072148863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117827 + ... + 1121463.

It is an arithmetic number, because the mean of its divisors is an integer number (148976100).

Almost surely, 2^4072148865 is an apocalyptic number.

4072148865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4072148865 is a deficient number, since it is larger than the sum of its proper divisors (3078703935).

4072148865 is a wasteful number, since it uses less digits than its factorization.

4072148865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4072148865 is about 63813.3909536235. The cubic root of 4072148865 is about 1596.8883358529. Note that the first 3 decimals are identical.

The spelling of 4072148865 in words is "four billion, seventy-two million, one hundred forty-eight thousand, eight hundred sixty-five".