334188149456 has 80 divisors (see below), whose sum is σ = 746506506240. Its totient is φ = 141964417920.

The previous prime is 334188149419. The next prime is 334188149461. The reversal of 334188149456 is 654941881433.

It is a happy number.

It is a super-2 number, since 2×334188149456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13001225 + ... + 13026903.

It is an arithmetic number, because the mean of its divisors is an integer number (9331331328).

Almost surely, 2^334188149456 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 334188149456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373253253120).

334188149456 is an abundant number, since it is smaller than the sum of its proper divisors (412318356784).

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

334188149456 is a wasteful number, since it uses less digits than its factorization.

334188149456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26712 (or 26706 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

The spelling of 334188149456 in words is "three hundred thirty-four billion, one hundred eighty-eight million, one hundred forty-nine thousand, four hundred fifty-six".