83481327972 has 96 divisors (see below), whose sum is σ = 247887360000. Its totient is φ = 23800192416.

The previous prime is 83481327971. The next prime is 83481327977. The reversal of 83481327972 is 27972318438.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83481327971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230779 + ... + 469277.

It is an arithmetic number, because the mean of its divisors is an integer number (2582160000).

Almost surely, 2^83481327972 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 83481327972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123943680000).

83481327972 is an abundant number, since it is smaller than the sum of its proper divisors (164406032028).

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

83481327972 is a wasteful number, since it uses less digits than its factorization.

83481327972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238982 (or 238974 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 83481327972 in words is "eighty-three billion, four hundred eighty-one million, three hundred twenty-seven thousand, nine hundred seventy-two".