7145952408 has 128 divisors (see below), whose sum is σ = 23467968000. Its totient is φ = 1971285120.

The previous prime is 7145952371. The next prime is 7145952439. The reversal of 7145952408 is 8042595417.

7145952408 is a `hidden beast` number, since 7 + 14 + 595 + 2 + 40 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37638 + ... + 125333.

It is an arithmetic number, because the mean of its divisors is an integer number (183343500).

Almost surely, 2^7145952408 is an apocalyptic number.

It is an amenable number.

7145952408 is an abundant number, since it is smaller than the sum of its proper divisors (16322015592).

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

7145952408 is a wasteful number, since it uses less digits than its factorization.

7145952408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163022 (or 163012 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 7145952408 is about 84533.7353250168. The cubic root of 7145952408 is about 1926.1349271260.

It can be divided in two parts, 714595 and 2408, that added together give a triangular number (717003 = T₁₁₉₇).

The spelling of 7145952408 in words is "seven billion, one hundred forty-five million, nine hundred fifty-two thousand, four hundred eight".