1336749298560 has 3072 divisors, whose sum is σ = 6062853888000. Its totient is φ = 277481521152.

The previous prime is 1336749298531. The next prime is 1336749298609. The reversal of 1336749298560 is 658929476331.

1336749298560 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 7 + 49 + 29 + 8 + 560 = 666.

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, 15019654996 + ... + 15019655084.

It is an arithmetic number, because the mean of its divisors is an integer number (1973585250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1336749298560 = 2673498597120, but 3⋅1336749298560 = 4010247895680 is not.

Almost surely, 2^{1336749298560} is an apocalyptic number.

1336749298560 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 1336749298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031426944000).

1336749298560 is an abundant number, since it is smaller than the sum of its proper divisors (4726104589440).

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

1336749298560 is a wasteful number, since it uses less digits than its factorization.

1336749298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1336749298560 in words is "one trillion, three hundred thirty-six billion, seven hundred forty-nine million, two hundred ninety-eight thousand, five hundred sixty".