83061455416038 has 32 divisors (see below), whose sum is σ = 201361104040320. Its totient is φ = 25170138004680.

The previous prime is 83061455416007. The next prime is 83061455416111.

It is a happy number.

83061455416038 is a `hidden beast` number, since 8 + 3 + 0 + 6 + 1 + 4 + 5 + 541 + 60 + 38 = 666.

83061455416038 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69917049420 + ... + 69917050607.

It is an arithmetic number, because the mean of its divisors is an integer number (6292534501260).

Almost surely, 2^{83061455416038} is an apocalyptic number.

83061455416038 is an abundant number, since it is smaller than the sum of its proper divisors (118299648624282).

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

83061455416038 is a wasteful number, since it uses less digits than its factorization.

83061455416038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139834100049 (or 139834100043 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 83061455416038 in words is "eighty-three trillion, sixty-one billion, four hundred fifty-five million, four hundred sixteen thousand, thirty-eight".