334625216640000 has 1760 divisors, whose sum is σ = 1312506012432384. Its totient is φ = 74701455360000.

The previous prime is 334625216639957. The next prime is 334625216640073. The reversal of 334625216640000 is 46612526433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×334625216640000² (a number of 30 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 138103678789 + ... + 138103681211.

Almost surely, 2^{334625216640000} is an apocalyptic number.

334625216640000 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 334625216640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656253006216192).

334625216640000 is an abundant number, since it is smaller than the sum of its proper divisors (977880795792384).

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

334625216640000 is a wasteful number, since it uses less digits than its factorization.

334625216640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 334625216640000 in words is "three hundred thirty-four trillion, six hundred twenty-five billion, two hundred sixteen million, six hundred forty thousand".