1368345242880 has 3456 divisors, whose sum is σ = 6794746560000. Its totient is φ = 256644218880.

The previous prime is 1368345242843. The next prime is 1368345242893. The reversal of 1368345242880 is 882425438631.

1368345242880 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 34 + 524 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9183525046 + ... + 9183525194.

It is an arithmetic number, because the mean of its divisors is an integer number (1966072500).

Almost surely, 2^{1368345242880} is an apocalyptic number.

1368345242880 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 1368345242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397373280000).

1368345242880 is an abundant number, since it is smaller than the sum of its proper divisors (5426401317120).

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

1368345242880 is a wasteful number, since it uses less digits than its factorization.

1368345242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1368345242880 in words is "one trillion, three hundred sixty-eight billion, three hundred forty-five million, two hundred forty-two thousand, eight hundred eighty".