337105649664 has 567 divisors, whose sum is σ = 1176369590487. Its totient is φ = 96315899904.

The previous prime is 337105649623. The next prime is 337105649701. The reversal of 337105649664 is 466946501733.

The square root of 337105649664 is 580608.

It is a perfect power (a square), and thus also a powerful number.

337105649664 is a `hidden beast` number, since 3 + 3 + 7 + 10 + 564 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×337105649664² (a number of 24 digits) contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 337105649664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48157949949 + ... + 48157949955.

Almost surely, 2^337105649664 is an apocalyptic number.

337105649664 is the 580608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 337105649664

337105649664 is an abundant number, since it is smaller than the sum of its proper divisors (839263940823).

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

337105649664 is an frugal number, since it uses more digits than its factorization.

337105649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 337105649664 in words is "three hundred thirty-seven billion, one hundred five million, six hundred forty-nine thousand, six hundred sixty-four".