4137677514 has 48 divisors (see below), whose sum is σ = 9217856232. Its totient is φ = 1340406144.

The previous prime is 4137677513. The next prime is 4137677567. The reversal of 4137677514 is 4157767314.

4137677514 is a `hidden beast` number, since 41 + 37 + 67 + 7 + 514 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3918134025 + 219543489 = 62595^2 + 14817^2 .

It is a super-2 number, since 2×4137677514² = 34240750419722440392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4137677514.

It is not an unprimeable number, because it can be changed into a prime (4137677513) 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, 671592 + ... + 677724.

Almost surely, 2^4137677514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4137677514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608928116).

4137677514 is an abundant number, since it is smaller than the sum of its proper divisors (5080178718).

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

4137677514 is a wasteful number, since it uses less digits than its factorization.

4137677514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191 (or 7188 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 4137677514 is about 64324.7814920502. The cubic root of 4137677514 is about 1605.4084569070.

The spelling of 4137677514 in words is "four billion, one hundred thirty-seven million, six hundred seventy-seven thousand, five hundred fourteen".