83081948040 has 1296 divisors, whose sum is σ = 363565203300. Its totient is φ = 16378951680.

The previous prime is 83081948023. The next prime is 83081948149. The reversal of 83081948040 is 4084918038.

It can be written as a sum of positive squares in 6 ways, for example, as 9033742116 + 74048205924 = 95046^2 + 272118^2 .

It is a super-2 number, since 2×83081948040² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2680062825 + ... + 2680062855.

Almost surely, 2^83081948040 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 83081948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181782601650).

83081948040 is an abundant number, since it is smaller than the sum of its proper divisors (280483255260).

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

83081948040 is a wasteful number, since it uses less digits than its factorization.

83081948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 83081948040 in words is "eighty-three billion, eighty-one million, nine hundred forty-eight thousand, forty".