83450221933000 has 256 divisors, whose sum is σ = 217108908656640. Its totient is φ = 29814231168000.

The previous prime is 83450221932949. The next prime is 83450221933007. The reversal of 83450221933000 is 33912205438.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (83450221933007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4850902399 + ... + 4850919601.

It is an arithmetic number, because the mean of its divisors is an integer number (848081674440).

Almost surely, 2^{83450221933000} 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 83450221933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108554454328320).

83450221933000 is an abundant number, since it is smaller than the sum of its proper divisors (133658686723640).

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

83450221933000 is a wasteful number, since it uses less digits than its factorization.

83450221933000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29305 (or 29291 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 83450221933000 in words is "eighty-three trillion, four hundred fifty billion, two hundred twenty-one million, nine hundred thirty-three thousand".