83146109040 has 80 divisors (see below), whose sum is σ = 286392160800. Its totient is φ = 22172295168.

The previous prime is 83146108993. The next prime is 83146109041. The reversal of 83146109040 is 4090164138.

83146109040 is a `hidden beast` number, since 8 + 31 + 4 + 610 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 83146108986 and 83146109004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83146109041) 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 15 ways as a sum of consecutive naturals, for example, 19244625 + ... + 19248944.

It is an arithmetic number, because the mean of its divisors is an integer number (3579902010).

Almost surely, 2^83146109040 is an apocalyptic number.

83146109040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83146109040 is an abundant number, since it is smaller than the sum of its proper divisors (203246051760).

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

83146109040 is a wasteful number, since it uses less digits than its factorization.

83146109040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38493591 (or 38493579 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 83146109040 in words is "eighty-three billion, one hundred forty-six million, one hundred nine thousand, forty".