4115147985 has 24 divisors (see below), whose sum is σ = 7681610664. Its totient is φ = 2025918720.

The previous prime is 4115147963. The next prime is 4115147987. The reversal of 4115147985 is 5897415114.

4115147985 is a `hidden beast` number, since 41 + 1 + 514 + 7 + 98 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 763085376 + 3352062609 = 27624^2 + 57897^2 .

It is not a de Polignac number, because 4115147985 - 2⁶ = 4115147921 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 4115147985.

It is not an unprimeable number, because it can be changed into a prime (4115147987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3516636 + ... + 3517805.

It is an arithmetic number, because the mean of its divisors is an integer number (320067111).

Almost surely, 2^4115147985 is an apocalyptic number.

4115147985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4115147985 is a deficient number, since it is larger than the sum of its proper divisors (3566462679).

4115147985 is a wasteful number, since it uses less digits than its factorization.

4115147985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034465 (or 7034462 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 4115147985 is about 64149.4192101534. The cubic root of 4115147985 is about 1602.4893521586.

It can be divided in two parts, 4115 and 147985, that added together give a square (152100 = 390²).

The spelling of 4115147985 in words is "four billion, one hundred fifteen million, one hundred forty-seven thousand, nine hundred eighty-five".