6314068152000 has 896 divisors, whose sum is σ = 27388108800000. Its totient is φ = 1393439846400.

The previous prime is 6314068151981. The next prime is 6314068152023. The reversal of 6314068152000 is 2518604136.

It is a happy number.

6314068152000 is a `hidden beast` number, since 6 + 31 + 40 + 68 + 1 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43776001 + ... + 43919999.

Almost surely, 2^{6314068152000} is an apocalyptic number.

6314068152000 is a gapful number since it is divisible by the number (60) 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 6314068152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694054400000).

6314068152000 is an abundant number, since it is smaller than the sum of its proper divisors (21074040648000).

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

6314068152000 is a wasteful number, since it uses less digits than its factorization.

6314068152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144071 (or 144045 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 6314068152000 in words is "six trillion, three hundred fourteen billion, sixty-eight million, one hundred fifty-two thousand".