83541274976016 has 2400 divisors, whose sum is σ = 328707612794880. Its totient is φ = 20158079385600.

The previous prime is 83541274976011. The next prime is 83541274976051. The reversal of 83541274976016 is 61067947214538.

83541274976016 is a `hidden beast` number, since 8 + 3 + 5 + 4 + 12 + 7 + 4 + 9 + 7 + 601 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (83541274976011) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24123958701 + ... + 24123962163.

It is a 2-persistent number, because it is pandigital, and so is 2⋅83541274976016 = 167082549952032, but 3⋅83541274976016 = 250623824928048 is not.

Almost surely, 2^{83541274976016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83541274976016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164353806397440).

83541274976016 is an abundant number, since it is smaller than the sum of its proper divisors (245166337818864).

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

83541274976016 is a wasteful number, since it uses less digits than its factorization.

83541274976016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 83541274976016 in words is "eighty-three trillion, five hundred forty-one billion, two hundred seventy-four million, nine hundred seventy-six thousand, sixteen".