1648153754325 has 72 divisors (see below), whose sum is σ = 3183593398440. Its totient is φ = 810253324800.

The previous prime is 1648153754293. The next prime is 1648153754353. The reversal of 1648153754325 is 5234573518461.

It is a happy number.

1648153754325 is a `hidden beast` number, since 1 + 6 + 4 + 81 + 537 + 5 + 4 + 3 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 778442702436 + 869711051889 = 882294^2 + 932583^2 .

It is not a de Polignac number, because 1648153754325 - 2⁵ = 1648153754293 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1676455 + ... + 2471195.

Almost surely, 2^{1648153754325} is an apocalyptic number.

1648153754325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1648153754325 is a deficient number, since it is larger than the sum of its proper divisors (1535439644115).

1648153754325 is a wasteful number, since it uses less digits than its factorization.

1648153754325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795479 (or 795471 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 1648153754325 in words is "one trillion, six hundred forty-eight billion, one hundred fifty-three million, seven hundred fifty-four thousand, three hundred twenty-five".