1337245303680 has 2880 divisors, whose sum is σ = 6100024613760. Its totient is φ = 276999782400.

The previous prime is 1337245303661. The next prime is 1337245303721. The reversal of 1337245303680 is 863035427331.

1337245303680 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 2 + 4 + 530 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 43136945265 + ... + 43136945295.

It is an arithmetic number, because the mean of its divisors is an integer number (2118064102).

Almost surely, 2^{1337245303680} is an apocalyptic number.

1337245303680 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 1337245303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050012306880).

1337245303680 is an abundant number, since it is smaller than the sum of its proper divisors (4762779310080).

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

1337245303680 is a wasteful number, since it uses less digits than its factorization.

1337245303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1337245303680 in words is "one trillion, three hundred thirty-seven billion, two hundred forty-five million, three hundred three thousand, six hundred eighty".