334645917943680 has 768 divisors, whose sum is σ = 1325420514662400. Its totient is φ = 76214760800256.

The previous prime is 334645917943637. The next prime is 334645917943741. The reversal of 334645917943680 is 86349719546433.

334645917943680 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 45 + 9 + 1 + 79 + 436 + 80 = 666.

It is a super-2 number, since 2×334645917943680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 334645917943599 and 334645917943608.

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 95 ways as a sum of consecutive naturals, for example, 46177161817 + ... + 46177169063.

It is an arithmetic number, because the mean of its divisors is an integer number (1725807961800).

Almost surely, 2^{334645917943680} is an apocalyptic number.

334645917943680 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 334645917943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662710257331200).

334645917943680 is an abundant number, since it is smaller than the sum of its proper divisors (990774596718720).

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

334645917943680 is a wasteful number, since it uses less digits than its factorization.

334645917943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 334645917943680 in words is "three hundred thirty-four trillion, six hundred forty-five billion, nine hundred seventeen million, nine hundred forty-three thousand, six hundred eighty".