83409956842624 has 64 divisors (see below), whose sum is σ = 168771567444480. Its totient is φ = 41053435494400.

The previous prime is 83409956842613. The next prime is 83409956842679. The reversal of 83409956842624 is 42624865990438.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333744 + ... + 12984559.

It is an arithmetic number, because the mean of its divisors is an integer number (2637055741320).

Almost surely, 2^{83409956842624} is an apocalyptic number.

It is an amenable number.

83409956842624 is an abundant number, since it is smaller than the sum of its proper divisors (85361610601856).

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

83409956842624 is a wasteful number, since it uses less digits than its factorization.

83409956842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319029 (or 14319017 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 70.

The spelling of 83409956842624 in words is "eighty-three trillion, four hundred nine billion, nine hundred fifty-six million, eight hundred forty-two thousand, six hundred twenty-four".