82100467978731 has 12 divisors (see below), whose sum is σ = 118931321533752. Its totient is φ = 54575911468896.

The previous prime is 82100467978729. The next prime is 82100467978801. The reversal of 82100467978731 is 13787976400128.

82100467978731 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 0 + 467 + 97 + 87 + 3 + 1 = 666.

It is not a de Polignac number, because 82100467978731 - 2¹ = 82100467978729 is a prime.

It is a super-2 number, since 2×82100467978731² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82100467978631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13144484226 + ... + 13144490471.

It is an arithmetic number, because the mean of its divisors is an integer number (9910943461146).

Almost surely, 2^{82100467978731} is an apocalyptic number.

82100467978731 is a deficient number, since it is larger than the sum of its proper divisors (36830853555021).

82100467978731 is a wasteful number, since it uses less digits than its factorization.

82100467978731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26288975050 (or 26288975047 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 82100467978731 in words is "eighty-two trillion, one hundred billion, four hundred sixty-seven million, nine hundred seventy-eight thousand, seven hundred thirty-one".