7148133753696 has 576 divisors, whose sum is σ = 23615938644480. Its totient is φ = 2032499589120.

The previous prime is 7148133753689. The next prime is 7148133753721. The reversal of 7148133753696 is 6963573318417.

7148133753696 is a `hidden beast` number, since 7 + 1 + 4 + 8 + 1 + 3 + 3 + 7 + 536 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490902256 + ... + 490916816.

It is an arithmetic number, because the mean of its divisors is an integer number (40999893480).

Almost surely, 2^{7148133753696} is an apocalyptic number.

7148133753696 is a gapful number since it is divisible by the number (76) 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 7148133753696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807969322240).

7148133753696 is an abundant number, since it is smaller than the sum of its proper divisors (16467804890784).

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

7148133753696 is a wasteful number, since it uses less digits than its factorization.

7148133753696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14768 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 7148133753696 in words is "seven trillion, one hundred forty-eight billion, one hundred thirty-three million, seven hundred fifty-three thousand, six hundred ninety-six".