82278977242176 has 945 divisors, whose sum is σ = 290627612649759. Its totient is φ = 22988974694400.

The previous prime is 82278977242159. The next prime is 82278977242183. The reversal of 82278977242176 is 67124277987228.

The square root of 82278977242176 is 9070776.

It is a perfect power (a square), and thus also a powerful number.

82278977242176 is a `hidden beast` number, since 8 + 227 + 8 + 97 + 7 + 242 + 1 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37723672641600 + 44555304600576 = 6141960^2 + 6674976^2 .

It is a super-2 number, since 2×82278977242176² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 93392709256 + ... + 93392710136.

Almost surely, 2^{82278977242176} is an apocalyptic number.

82278977242176 is the 9070776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82278977242176

82278977242176 is an abundant number, since it is smaller than the sum of its proper divisors (208348635407583).

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

82278977242176 is an equidigital number, since it uses as much as digits as its factorization.

82278977242176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 910 counting only the distinct ones).

The product of its digits is 531062784, while the sum is 72.

The spelling of 82278977242176 in words is "eighty-two trillion, two hundred seventy-eight billion, nine hundred seventy-seven million, two hundred forty-two thousand, one hundred seventy-six".