1337938572096 has 896 divisors, whose sum is σ = 4828032000000. Its totient is φ = 354866282496.

The previous prime is 1337938572083. The next prime is 1337938572119. The reversal of 1337938572096 is 6902758397331.

1337938572096 is a `hidden beast` number, since 1 + 3 + 379 + 3 + 8 + 57 + 209 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3047695845 + ... + 3047696283.

Almost surely, 2^{1337938572096} is an apocalyptic number.

1337938572096 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 1337938572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414016000000).

1337938572096 is an abundant number, since it is smaller than the sum of its proper divisors (3490093427904).

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

1337938572096 is a wasteful number, since it uses less digits than its factorization.

1337938572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 1337938572096 in words is "one trillion, three hundred thirty-seven billion, nine hundred thirty-eight million, five hundred seventy-two thousand, ninety-six".