337122481680 has 160 divisors (see below), whose sum is σ = 1166704552320. Its totient is φ = 89473144320.

The previous prime is 337122481679. The next prime is 337122481687. The reversal of 337122481680 is 86184221733.

337122481680 is a `hidden beast` number, since 3 + 3 + 71 + 22 + 481 + 6 + 80 = 666.

It is a super-2 number, since 2×337122481680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (337122481687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85914 + ... + 825606.

It is an arithmetic number, because the mean of its divisors is an integer number (7291903452).

Almost surely, 2^337122481680 is an apocalyptic number.

337122481680 is a gapful number since it is divisible by the number (30) 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 337122481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583352276160).

337122481680 is an abundant number, since it is smaller than the sum of its proper divisors (829582070640).

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

337122481680 is a wasteful number, since it uses less digits than its factorization.

337122481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739926 (or 739914 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 337122481680 in words is "three hundred thirty-seven billion, one hundred twenty-two million, four hundred eighty-one thousand, six hundred eighty".