7238965248 has 384 divisors, whose sum is σ = 22895308800. Its totient is φ = 2256076800.

The previous prime is 7238965231. The next prime is 7238965271. The reversal of 7238965248 is 8425698327.

7238965248 is a `hidden beast` number, since 7 + 23 + 8 + 96 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×7238965248³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (180).

It is a junction number, because it is equal to n+sod(n) for n = 7238965194 and 7238965203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70281165 + ... + 70281267.

It is an arithmetic number, because the mean of its divisors is an integer number (59623200).

Almost surely, 2^7238965248 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 7238965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11447654400).

7238965248 is an abundant number, since it is smaller than the sum of its proper divisors (15656343552).

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

7238965248 is a wasteful number, since it uses less digits than its factorization.

7238965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7238965248 is about 85082.1088596187. The cubic root of 7238965248 is about 1934.4558869137.

The spelling of 7238965248 in words is "seven billion, two hundred thirty-eight million, nine hundred sixty-five thousand, two hundred forty-eight".