1348357570560 has 3600 divisors, whose sum is σ = 6834058529760. Its totient is φ = 249707888640.

The previous prime is 1348357570541. The next prime is 1348357570561. The reversal of 1348357570560 is 650757538431.

1348357570560 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 5 + 7 + 5 + 70 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1348357570497 and 1348357570506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348357570561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46495088626 + ... + 46495088654.

Almost surely, 2^{1348357570560} is an apocalyptic number.

1348357570560 is a gapful number since it is divisible by the number (10) 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 1348357570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417029264880).

1348357570560 is an abundant number, since it is smaller than the sum of its proper divisors (5485700959200).

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

1348357570560 is a wasteful number, since it uses less digits than its factorization.

1348357570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 1348357570560 in words is "one trillion, three hundred forty-eight billion, three hundred fifty-seven million, five hundred seventy thousand, five hundred sixty".