334985664000 has 640 divisors, whose sum is σ = 1211990427648. Its totient is φ = 81594777600.

The previous prime is 334985663981. The next prime is 334985664007. The reversal of 334985664000 is 466589433.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×334985664000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334985664007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257087349 + ... + 257088651.

Almost surely, 2^334985664000 is an apocalyptic number.

334985664000 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 334985664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605995213824).

334985664000 is an abundant number, since it is smaller than the sum of its proper divisors (877004763648).

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

334985664000 is a wasteful number, since it uses less digits than its factorization.

334985664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 334985664000 in words is "three hundred thirty-four billion, nine hundred eighty-five million, six hundred sixty-four thousand".