83047537608192 has 480 divisors, whose sum is σ = 251605266232320. Its totient is φ = 26320129228800.

The previous prime is 83047537608181. The next prime is 83047537608239. The reversal of 83047537608192 is 29180673574038.

83047537608192 is a `hidden beast` number, since 8 + 3 + 0 + 4 + 7 + 5 + 3 + 7 + 608 + 19 + 2 = 666.

It is a super-2 number, since 2×83047537608192² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17297964192 + ... + 17297968992.

It is an arithmetic number, because the mean of its divisors is an integer number (524177637984).

It is a 2-persistent number, because it is pandigital, and so is 2⋅83047537608192 = 166095075216384, but 3⋅83047537608192 = 249142612824576 is not.

Almost surely, 2^{83047537608192} 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 83047537608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125802633116160).

83047537608192 is an abundant number, since it is smaller than the sum of its proper divisors (168557728624128).

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

83047537608192 is a wasteful number, since it uses less digits than its factorization.

83047537608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5775 counting only the distinct ones).

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

The spelling of 83047537608192 in words is "eighty-three trillion, forty-seven billion, five hundred thirty-seven million, six hundred eight thousand, one hundred ninety-two".