83121348336435 has 40 divisors (see below), whose sum is σ = 149163104423520. Its totient is φ = 44283666110976.

The previous prime is 83121348336371. The next prime is 83121348336449. The reversal of 83121348336435 is 53463384312138.

83121348336435 is a `hidden beast` number, since 8 + 3 + 121 + 3 + 4 + 83 + 3 + 6 + 435 = 666.

It is not a de Polignac number, because 83121348336435 - 2⁶ = 83121348336371 is a prime.

It is a super-3 number, since 3×83121348336435³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110085487 + ... + 110837976.

It is an arithmetic number, because the mean of its divisors is an integer number (3729077610588).

Almost surely, 2^{83121348336435} is an apocalyptic number.

83121348336435 is a deficient number, since it is larger than the sum of its proper divisors (66041756087085).

83121348336435 is a wasteful number, since it uses less digits than its factorization.

83121348336435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220924409 (or 220924400 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

It can be divided in two parts, 83121 and 348336435, that added together give a square (348419556 = 18666²).

The spelling of 83121348336435 in words is "eighty-three trillion, one hundred twenty-one billion, three hundred forty-eight million, three hundred thirty-six thousand, four hundred thirty-five".