36681146680347 has 64 divisors (see below), whose sum is σ = 59062832640000. Its totient is φ = 22365597792384.

The previous prime is 36681146680337. The next prime is 36681146680363. The reversal of 36681146680347 is 74308664118663.

36681146680347 is a `hidden beast` number, since 3 + 6 + 68 + 1 + 1 + 466 + 80 + 34 + 7 = 666.

It is not a de Polignac number, because 36681146680347 - 2⁸ = 36681146680091 is a prime.

It is a super-4 number, since 4×36681146680347⁴ (a number of 55 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (36681146680337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15595273 + ... + 17792549.

It is an arithmetic number, because the mean of its divisors is an integer number (922856760000).

Almost surely, 2^{36681146680347} is an apocalyptic number.

36681146680347 is a deficient number, since it is larger than the sum of its proper divisors (22381685959653).

36681146680347 is a wasteful number, since it uses less digits than its factorization.

36681146680347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197737 (or 2197731 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 36681146680347 in words is "thirty-six trillion, six hundred eighty-one billion, one hundred forty-six million, six hundred eighty thousand, three hundred forty-seven".