2679164016048 has 120 divisors (see below), whose sum is σ = 8075255129760. Its totient is φ = 824301757440.

The previous prime is 2679164016047. The next prime is 2679164016071. The reversal of 2679164016048 is 8406104619762.

2679164016048 is a `hidden beast` number, since 26 + 7 + 9 + 1 + 6 + 4 + 0 + 1 + 604 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2679164015985 and 2679164016003.

It is not an unprimeable number, because it can be changed into a prime (2679164016047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33433213 + ... + 33513251.

It is an arithmetic number, because the mean of its divisors is an integer number (67293792748).

Almost surely, 2^{2679164016048} is an apocalyptic number.

It is an amenable number.

2679164016048 is an abundant number, since it is smaller than the sum of its proper divisors (5396091113712).

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

2679164016048 is a wasteful number, since it uses less digits than its factorization.

2679164016048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97947 (or 97938 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2679164016048 in words is "two trillion, six hundred seventy-nine billion, one hundred sixty-four million, sixteen thousand, forty-eight".