337364047104 has 288 divisors, whose sum is σ = 1084349521920. Its totient is φ = 91029159936.

The previous prime is 337364047093. The next prime is 337364047117. The reversal of 337364047104 is 401740463733.

It is a super-2 number, since 2×337364047104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9750924 + ... + 9785460.

Almost surely, 2^337364047104 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 337364047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542174760960).

337364047104 is an abundant number, since it is smaller than the sum of its proper divisors (746985474816).

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

337364047104 is a wasteful number, since it uses less digits than its factorization.

337364047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34665 (or 34651 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 337364047104 in words is "three hundred thirty-seven billion, three hundred sixty-four million, forty-seven thousand, one hundred four".