337415406012 has 144 divisors (see below), whose sum is σ = 905485980672. Its totient is φ = 105716983680.

The previous prime is 337415405983. The next prime is 337415406023. The reversal of 337415406012 is 210604514733.

337415406012 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 1 + 5 + 40 + 601 + 2 = 666.

It is a super-2 number, since 2×337415406012² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 23348173 + ... + 23362619.

It is an arithmetic number, because the mean of its divisors is an integer number (6288097088).

Almost surely, 2^337415406012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337415406012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452742990336).

337415406012 is an abundant number, since it is smaller than the sum of its proper divisors (568070574660).

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

337415406012 is a wasteful number, since it uses less digits than its factorization.

337415406012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14968 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 337415406012 in words is "three hundred thirty-seven billion, four hundred fifteen million, four hundred six thousand, twelve".