337081687004106 has 32 divisors (see below), whose sum is σ = 817167726072000. Its totient is φ = 102145965758640.

The previous prime is 337081687004081. The next prime is 337081687004141. The reversal of 337081687004106 is 601400786180733.

337081687004106 is a `hidden beast` number, since 3 + 3 + 70 + 81 + 6 + 87 + 0 + 0 + 410 + 6 = 666.

It is a super-2 number, since 2×337081687004106² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283738793181 + ... + 283738794368.

It is an arithmetic number, because the mean of its divisors is an integer number (25536491439750).

Almost surely, 2^{337081687004106} is an apocalyptic number.

337081687004106 is an abundant number, since it is smaller than the sum of its proper divisors (480086039067894).

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

337081687004106 is a wasteful number, since it uses less digits than its factorization.

337081687004106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567477587571 (or 567477587565 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 337081687004106 in words is "three hundred thirty-seven trillion, eighty-one billion, six hundred eighty-seven million, four thousand, one hundred six".