7312189248 has 672 divisors, whose sum is σ = 27517344000. Its totient is φ = 1902071808.

The previous prime is 7312189217. The next prime is 7312189271. The reversal of 7312189248 is 8429812137.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7312189248² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 100166940 + ... + 100167012.

Almost surely, 2^7312189248 is an apocalyptic number.

7312189248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7312189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758672000).

7312189248 is an abundant number, since it is smaller than the sum of its proper divisors (20205154752).

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

7312189248 is a wasteful number, since it uses less digits than its factorization.

7312189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 7312189248 is about 85511.3398795739. The cubic root of 7312189248 is about 1940.9565240890.

The spelling of 7312189248 in words is "seven billion, three hundred twelve million, one hundred eighty-nine thousand, two hundred forty-eight".