83972784429 has 32 divisors (see below), whose sum is σ = 125434368000. Its totient is φ = 55518607872.

The previous prime is 83972784361. The next prime is 83972784437. The reversal of 83972784429 is 92448727938.

83972784429 is a `hidden beast` number, since 83 + 97 + 27 + 8 + 442 + 9 = 666.

It is not a de Polignac number, because 83972784429 - 2⁸ = 83972784173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83972784449) 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, 16761877 + ... + 16766885.

It is an arithmetic number, because the mean of its divisors is an integer number (3919824000).

Almost surely, 2^83972784429 is an apocalyptic number.

It is an amenable number.

83972784429 is a deficient number, since it is larger than the sum of its proper divisors (41461583571).

83972784429 is a wasteful number, since it uses less digits than its factorization.

83972784429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034 (or 10028 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 83972784429 in words is "eighty-three billion, nine hundred seventy-two million, seven hundred eighty-four thousand, four hundred twenty-nine".