337423474682112 has 1152 divisors, whose sum is σ = 1202828882411520. Its totient is φ = 81525378908160.

The previous prime is 337423474682071. The next prime is 337423474682131. The reversal of 337423474682112 is 211286474324733.

It is a super-3 number, since 3×337423474682112³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

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, 4833489064 + ... + 4833558872.

It is an arithmetic number, because the mean of its divisors is an integer number (1044122293760).

Almost surely, 2^{337423474682112} is an apocalyptic number.

337423474682112 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 337423474682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601414441205760).

337423474682112 is an abundant number, since it is smaller than the sum of its proper divisors (865405407729408).

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

337423474682112 is a wasteful number, since it uses less digits than its factorization.

337423474682112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69999 (or 69985 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 57.

The spelling of 337423474682112 in words is "three hundred thirty-seven trillion, four hundred twenty-three billion, four hundred seventy-four million, six hundred eighty-two thousand, one hundred twelve".