83349504000 has 1536 divisors, whose sum is σ = 382766342400. Its totient is φ = 16986931200.

The previous prime is 83349503977. The next prime is 83349504023. The reversal of 83349504000 is 40594338.

It is an interprime number because it is at equal distance from previous prime (83349503977) and next prime (83349504023).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a zygodrome in base 8.

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, 4386815991 + ... + 4386816009.

Almost surely, 2^83349504000 is an apocalyptic number.

83349504000 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 83349504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191383171200).

83349504000 is an abundant number, since it is smaller than the sum of its proper divisors (299416838400).

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

83349504000 is a wasteful number, since it uses less digits than its factorization.

83349504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 83349504000 in words is "eighty-three billion, three hundred forty-nine million, five hundred four thousand".