1345619968 has 288 divisors, whose sum is σ = 3630070080. Its totient is φ = 492011520.

The previous prime is 1345619953. The next prime is 1345619971. The reversal of 1345619968 is 8699165431.

Its product of digits (1399680) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25389030 + ... + 25389082.

It is an arithmetic number, because the mean of its divisors is an integer number (12604410).

Almost surely, 2^1345619968 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 1345619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815035040).

1345619968 is an abundant number, since it is smaller than the sum of its proper divisors (2284450112).

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

1345619968 is a wasteful number, since it uses less digits than its factorization.

1345619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 1345619968 is about 36682.6930309104. The cubic root of 1345619968 is about 1104.0128822973.

The spelling of 1345619968 in words is "one billion, three hundred forty-five million, six hundred nineteen thousand, nine hundred sixty-eight".