1337523048960 has 320 divisors, whose sum is σ = 4966858600704. Its totient is φ = 300707020800.

The previous prime is 1337523048937. The next prime is 1337523048997. The reversal of 1337523048960 is 698403257331.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075430 + ... + 3483290.

It is a 1-persistent number, because it is pandigital, but 2⋅1337523048960 = 2675046097920 is not.

Almost surely, 2^{1337523048960} is an apocalyptic number.

1337523048960 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 1337523048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483429300352).

1337523048960 is an abundant number, since it is smaller than the sum of its proper divisors (3629335551744).

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

1337523048960 is an equidigital number, since it uses as much as digits as its factorization.

1337523048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407955 (or 407939 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1337523048960 in words is "one trillion, three hundred thirty-seven billion, five hundred twenty-three million, forty-eight thousand, nine hundred sixty".