1348858368 has 480 divisors, whose sum is σ = 4825941120. Its totient is φ = 356843520.

The previous prime is 1348858367. The next prime is 1348858369. The reversal of 1348858368 is 8638588431.

1348858368 is a `hidden beast` number, since 13 + 48 + 8 + 583 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1348858367) and next prime (1348858369).

Its product of digits (4423680) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (1348858367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15155668 + ... + 15155756.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2^1348858368 is an apocalyptic number.

1348858368 is a gapful number since it is divisible by the number (18) 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 1348858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412970560).

1348858368 is an abundant number, since it is smaller than the sum of its proper divisors (3477082752).

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

1348858368 is a wasteful number, since it uses less digits than its factorization.

1348858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 1348858368 is about 36726.8072121713. The cubic root of 1348858368 is about 1104.8978203805.

The spelling of 1348858368 in words is "one billion, three hundred forty-eight million, eight hundred fifty-eight thousand, three hundred sixty-eight".