83223936000 has 880 divisors, whose sum is σ = 324569044800. Its totient is φ = 21167308800.

The previous prime is 83223935989. The next prime is 83223936011. The reversal of 83223936000 is 63932238.

It is an interprime number because it is at equal distance from previous prime (83223935989) and next prime (83223936011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238463826 + ... + 238464174.

It is an arithmetic number, because the mean of its divisors is an integer number (368828460).

Almost surely, 2^83223936000 is an apocalyptic number.

83223936000 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 83223936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162284522400).

83223936000 is an abundant number, since it is smaller than the sum of its proper divisors (241345108800).

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

83223936000 is a wasteful number, since it uses less digits than its factorization.

83223936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 83223936000 in words is "eighty-three billion, two hundred twenty-three million, nine hundred thirty-six thousand".