11679299415001 has 9 divisors (see below), whose sum is σ = 11700317147103. Its totient is φ = 11658319388640.

The previous prime is 11679299414963. The next prime is 11679299415041. The reversal of 11679299415001 is 10051499297611.

The square root of 11679299415001 is 3417499.

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

It can be written as a sum of positive squares in only one way, i.e., 3287153928601 + 8392145486400 = 1813051^2 + 2896920^2 .

It is not a de Polignac number, because 11679299415001 - 2⁷ = 11679299414873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11679299415041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2115429121 + ... + 2115434641.

It is an arithmetic number, because the mean of its divisors is an integer number (1300035238567).

Almost surely, 2^{11679299415001} is an apocalyptic number.

11679299415001 is the 3417499-th square number.

11679299415001 is the 1708750-th centered octagonal number.

It is an amenable number.

11679299415001 is a deficient number, since it is larger than the sum of its proper divisors (21017732102).

11679299415001 is an frugal number, since it uses more digits than its factorization.

11679299415001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 6140 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 55.

The spelling of 11679299415001 in words is "eleven trillion, six hundred seventy-nine billion, two hundred ninety-nine million, four hundred fifteen thousand, one".