337975130112 has 384 divisors, whose sum is σ = 964035072000. Its totient is φ = 105106636800.

The previous prime is 337975130107. The next prime is 337975130123. The reversal of 337975130112 is 211031579733.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×337975130112² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1402386312 + ... + 1402386552.

It is an arithmetic number, because the mean of its divisors is an integer number (2510508000).

Almost surely, 2^337975130112 is an apocalyptic number.

337975130112 is a gapful number since it is divisible by the number (32) 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 337975130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482017536000).

337975130112 is an abundant number, since it is smaller than the sum of its proper divisors (626059941888).

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

337975130112 is a wasteful number, since it uses less digits than its factorization.

337975130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The spelling of 337975130112 in words is "three hundred thirty-seven billion, nine hundred seventy-five million, one hundred thirty thousand, one hundred twelve".