7448629248 has 312 divisors, whose sum is σ = 22789065728. Its totient is φ = 2341011456.

The previous prime is 7448629247. The next prime is 7448629319. The reversal of 7448629248 is 8429268447.

7448629248 is a `hidden beast` number, since 7 + 4 + 4 + 8 + 629 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×7448629248² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7448629194 and 7448629203.

It is not an unprimeable number, because it can be changed into a prime (7448629247) 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, 58650561 + ... + 58650687.

Almost surely, 2^7448629248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7448629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394532864).

7448629248 is an abundant number, since it is smaller than the sum of its proper divisors (15340436480).

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

7448629248 is a wasteful number, since it uses less digits than its factorization.

7448629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 7448629248 is about 86305.4415897399. The cubic root of 7448629248 is about 1952.9544736411.

The spelling of 7448629248 in words is "seven billion, four hundred forty-eight million, six hundred twenty-nine thousand, two hundred forty-eight".