1368756144 has 300 divisors, whose sum is σ = 4708075152. Its totient is φ = 376047360.

The previous prime is 1368756131. The next prime is 1368756203. The reversal of 1368756144 is 4416578631.

1368756144 is a `hidden beast` number, since 1 + 3 + 6 + 87 + 561 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1368756144.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8718114 + ... + 8718270.

Almost surely, 2^1368756144 is an apocalyptic number.

1368756144 is a gapful number since it is divisible by the number (14) 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 1368756144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354037576).

1368756144 is an abundant number, since it is smaller than the sum of its proper divisors (3339319008).

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

1368756144 is a wasteful number, since it uses less digits than its factorization.

1368756144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 200 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1368756144 is about 36996.7045018877. The cubic root of 1368756144 is about 1110.3043139330.

It can be divided in two parts, 1368756 and 144, that added together give a square (1368900 = 1170²).

The spelling of 1368756144 in words is "one billion, three hundred sixty-eight million, seven hundred fifty-six thousand, one hundred forty-four".