334263379968 has 1152 divisors, whose sum is σ = 1248863616000. Its totient is φ = 87787929600.

The previous prime is 334263379951. The next prime is 334263379997. The reversal of 334263379968 is 869973362433.

334263379968 is a `hidden beast` number, since 33 + 426 + 3 + 37 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×334263379968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2213664693 + ... + 2213664843.

It is an arithmetic number, because the mean of its divisors is an integer number (1084083000).

Almost surely, 2^334263379968 is an apocalyptic number.

334263379968 is a gapful number since it is divisible by the number (38) 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 334263379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624431808000).

334263379968 is an abundant number, since it is smaller than the sum of its proper divisors (914600236032).

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

334263379968 is a wasteful number, since it uses less digits than its factorization.

334263379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 225 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 334263379968 in words is "three hundred thirty-four billion, two hundred sixty-three million, three hundred seventy-nine thousand, nine hundred sixty-eight".