1337975114112 has 1536 divisors, whose sum is σ = 5309006976000. Its totient is φ = 322127953920.

The previous prime is 1337975114039. The next prime is 1337975114117. The reversal of 1337975114112 is 2114115797331.

1337975114112 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 97 + 511 + 41 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337975114117) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5742382348 + ... + 5742382580.

It is an arithmetic number, because the mean of its divisors is an integer number (3456384750).

Almost surely, 2^{1337975114112} is an apocalyptic number.

1337975114112 is a gapful number since it is divisible by the number (12) 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 1337975114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654503488000).

1337975114112 is an abundant number, since it is smaller than the sum of its proper divisors (3971031861888).

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

1337975114112 is a wasteful number, since it uses less digits than its factorization.

1337975114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 308 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The spelling of 1337975114112 in words is "one trillion, three hundred thirty-seven billion, nine hundred seventy-five million, one hundred fourteen thousand, one hundred twelve".