1368519247872 has 576 divisors, whose sum is σ = 4784628925440. Its totient is φ = 368369565696.

The previous prime is 1368519247861. The next prime is 1368519247873. The reversal of 1368519247872 is 2787429158631.

1368519247872 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 5 + 1 + 92 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1368519247872² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1368519247873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198822543 + ... + 198829425.

It is an arithmetic number, because the mean of its divisors is an integer number (8306647440).

Almost surely, 2^{1368519247872} is an apocalyptic number.

1368519247872 is a gapful number since it is divisible by the number (12) 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 1368519247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392314462720).

1368519247872 is an abundant number, since it is smaller than the sum of its proper divisors (3416109677568).

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

1368519247872 is a wasteful number, since it uses less digits than its factorization.

1368519247872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6985 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 1368519247872 in words is "one trillion, three hundred sixty-eight billion, five hundred nineteen million, two hundred forty-seven thousand, eight hundred seventy-two".