7136473801248 has 1152 divisors, whose sum is σ = 24766758132480. Its totient is φ = 1924300800000.

The previous prime is 7136473801243. The next prime is 7136473801253. The reversal of 7136473801248 is 8421083746317.

7136473801248 is a `hidden beast` number, since 7 + 1 + 364 + 7 + 38 + 0 + 1 + 248 = 666.

It is an interprime number because it is at equal distance from previous prime (7136473801243) and next prime (7136473801253).

It is a junction number, because it is equal to n+sod(n) for n = 7136473801194 and 7136473801203.

It is not an unprimeable number, because it can be changed into a prime (7136473801241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11874332148 + ... + 11874332748.

It is an arithmetic number, because the mean of its divisors is an integer number (21498921990).

Almost surely, 2^{7136473801248} 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 7136473801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383379066240).

7136473801248 is an abundant number, since it is smaller than the sum of its proper divisors (17630284331232).

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

7136473801248 is a wasteful number, since it uses less digits than its factorization.

7136473801248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 7136473801248 in words is "seven trillion, one hundred thirty-six billion, four hundred seventy-three million, eight hundred one thousand, two hundred forty-eight".