83067314000 has 320 divisors, whose sum is σ = 225731480832. Its totient is φ = 29304576000.

The previous prime is 83067313951. The next prime is 83067314021. The reversal of 83067314000 is 41376038.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262041842 + ... + 262042158.

Almost surely, 2^83067314000 is an apocalyptic number.

83067314000 is a gapful number since it is divisible by the number (80) 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 83067314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112865740416).

83067314000 is an abundant number, since it is smaller than the sum of its proper divisors (142664166832).

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

83067314000 is a wasteful number, since it uses less digits than its factorization.

83067314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 83067314000 in words is "eighty-three billion, sixty-seven million, three hundred fourteen thousand".