83121141357036 has 36 divisors (see below), whose sum is σ = 210422131173072. Its totient is φ = 27666120896544.

The previous prime is 83121141357017. The next prime is 83121141357047. The reversal of 83121141357036 is 63075314112138.

83121141357036 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 1 + 1 + 41 + 3 + 570 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×83121141357036³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83121141356982 and 83121141357000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705234560 + ... + 1705283303.

It is an arithmetic number, because the mean of its divisors is an integer number (5845059199252).

Almost surely, 2^{83121141357036} is an apocalyptic number.

It is an amenable number.

83121141357036 is an abundant number, since it is smaller than the sum of its proper divisors (127300989816036).

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

83121141357036 is a wasteful number, since it uses less digits than its factorization.

83121141357036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410518550 (or 3410518545 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 83121141357036 in words is "eighty-three trillion, one hundred twenty-one billion, one hundred forty-one million, three hundred fifty-seven thousand, thirty-six".