7148912819328 has 512 divisors, whose sum is σ = 24914101555200. Its totient is φ = 1975646453760.

The previous prime is 7148912819317. The next prime is 7148912819329. The reversal of 7148912819328 is 8239182198417.

7148912819328 is a `hidden beast` number, since 7 + 1 + 489 + 128 + 1 + 9 + 3 + 28 = 666.

It is a super-2 number, since 2×7148912819328² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (7148912819329) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 107113008 + ... + 107179728.

It is an arithmetic number, because the mean of its divisors is an integer number (48660354600).

Almost surely, 2^{7148912819328} 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 7148912819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457050777600).

7148912819328 is an abundant number, since it is smaller than the sum of its proper divisors (17765188735872).

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

7148912819328 is a wasteful number, since it uses less digits than its factorization.

7148912819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66897 (or 66879 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 7148912819328 in words is "seven trillion, one hundred forty-eight billion, nine hundred twelve million, eight hundred nineteen thousand, three hundred twenty-eight".