7414704513 has 48 divisors (see below), whose sum is σ = 11570130000. Its totient is φ = 4574430720.

The previous prime is 7414704467. The next prime is 7414704523. The reversal of 7414704513 is 3154074147.

7414704513 is a `hidden beast` number, since 74 + 1 + 4 + 70 + 4 + 513 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1509089409 + 5905615104 = 38847^2 + 76848^2 .

It is not a de Polignac number, because 7414704513 - 2⁶ = 7414704449 is a prime.

It is a super-3 number, since 3×7414704513³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7414704523) 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, 2695863 + ... + 2698611.

It is an arithmetic number, because the mean of its divisors is an integer number (241044375).

Almost surely, 2^7414704513 is an apocalyptic number.

It is an amenable number.

7414704513 is a deficient number, since it is larger than the sum of its proper divisors (4155425487).

7414704513 is a wasteful number, since it uses less digits than its factorization.

7414704513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7414704513 is about 86108.6784999050. The cubic root of 7414704513 is about 1949.9850547178.

The spelling of 7414704513 in words is "seven billion, four hundred fourteen million, seven hundred four thousand, five hundred thirteen".