1348653930624 has 1152 divisors, whose sum is σ = 5388642080640. Its totient is φ = 312665702400.

The previous prime is 1348653930619. The next prime is 1348653930629. The reversal of 1348653930624 is 4260393568431.

1348653930624 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 5 + 3 + 9 + 3 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (1348653930619) and next prime (1348653930629).

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (1348653930629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1108178464 + ... + 1108179680.

It is an arithmetic number, because the mean of its divisors is an integer number (4677640695).

Almost surely, 2^{1348653930624} is an apocalyptic number.

1348653930624 is a gapful number since it is divisible by the number (14) 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 1348653930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694321040320).

1348653930624 is an abundant number, since it is smaller than the sum of its proper divisors (4039988150016).

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

1348653930624 is a wasteful number, since it uses less digits than its factorization.

1348653930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 1348653930624 in words is "one trillion, three hundred forty-eight billion, six hundred fifty-three million, nine hundred thirty thousand, six hundred twenty-four".