1337625225216 has 576 divisors, whose sum is σ = 4655004681600. Its totient is φ = 378389200896.

The previous prime is 1337625225197. The next prime is 1337625225253. The reversal of 1337625225216 is 6125225267331.

1337625225216 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 62 + 522 + 52 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279076516 + ... + 279081308.

It is an arithmetic number, because the mean of its divisors is an integer number (8081605350).

Almost surely, 2^{1337625225216} is an apocalyptic number.

1337625225216 is a gapful number since it is divisible by the number (16) 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 1337625225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327502340800).

1337625225216 is an abundant number, since it is smaller than the sum of its proper divisors (3317379456384).

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

1337625225216 is a wasteful number, since it uses less digits than its factorization.

1337625225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4908 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 1337625225216 in words is "one trillion, three hundred thirty-seven billion, six hundred twenty-five million, two hundred twenty-five thousand, two hundred sixteen".