4314137625 has 192 divisors, whose sum is σ = 9774086400. Its totient is φ = 1867017600.

The previous prime is 4314137603. The next prime is 4314137647. The reversal of 4314137625 is 5267314134.

4314137625 is a `hidden beast` number, since 4 + 3 + 14 + 13 + 7 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (4314137603) and next prime (4314137647).

It is not a de Polignac number, because 4314137625 - 2⁶ = 4314137561 is a prime.

It is a super-2 number, since 2×4314137625² = 37223566894881281250, 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 4314137625.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3141439 + ... + 3142811.

It is an arithmetic number, because the mean of its divisors is an integer number (50906700).

Almost surely, 2^4314137625 is an apocalyptic number.

4314137625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4314137625 is an abundant number, since it is smaller than the sum of its proper divisors (5459948775).

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

4314137625 is a wasteful number, since it uses less digits than its factorization.

4314137625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1407 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 4314137625 is about 65682.0951629894. The cubic root of 4314137625 is about 1627.9135265531.

The spelling of 4314137625 in words is "four billion, three hundred fourteen million, one hundred thirty-seven thousand, six hundred twenty-five".