337080116265984 has 2112 divisors, whose sum is σ = 1268651448110592. Its totient is φ = 87028295270400.

The previous prime is 337080116265953. The next prime is 337080116266009. The reversal of 337080116265984 is 489562611080733.

337080116265984 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 8 + 0 + 1 + 16 + 26 + 598 + 4 = 666.

It is a super-2 number, since 2×337080116265984² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 382610801224 + ... + 382610802104.

It is a 2-persistent number, because it is pandigital, and so is 2⋅337080116265984 = 674160232531968, but 3⋅337080116265984 = 1011240348797952 is not.

Almost surely, 2^{337080116265984} 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 337080116265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634325724055296).

337080116265984 is an abundant number, since it is smaller than the sum of its proper divisors (931571331844608).

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

337080116265984 is a wasteful number, since it uses less digits than its factorization.

337080116265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 337080116265984 in words is "three hundred thirty-seven trillion, eighty billion, one hundred sixteen million, two hundred sixty-five thousand, nine hundred eighty-four".