83031948450 has 576 divisors, whose sum is σ = 273582489600. Its totient is φ = 18433008000.

The previous prime is 83031948421. The next prime is 83031948457. The reversal of 83031948450 is 5484913038.

83031948450 is a `hidden beast` number, since 8 + 3 + 0 + 3 + 194 + 8 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 83031948396 and 83031948405.

It is not an unprimeable number, because it can be changed into a prime (83031948457) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 96212719 + ... + 96213581.

It is an arithmetic number, because the mean of its divisors is an integer number (474969600).

Almost surely, 2^83031948450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83031948450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136791244800).

83031948450 is an abundant number, since it is smaller than the sum of its proper divisors (190550541150).

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

83031948450 is a wasteful number, since it uses less digits than its factorization.

83031948450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83031948450 in words is "eighty-three billion, thirty-one million, nine hundred forty-eight thousand, four hundred fifty".