11164279007401 has 45 divisors (see below), whose sum is σ = 12858956795171. Its totient is φ = 9690943237248.

The previous prime is 11164279007389. The next prime is 11164279007417. The reversal of 11164279007401 is 10470097246111.

The square root of 11164279007401 is 3341299.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10191641229225 + 972637778176 = 3192435^2 + 986224^2 .

It is not a de Polignac number, because 11164279007401 - 2⁹ = 11164279006889 is a prime.

It is a super-2 number, since 2×11164279007401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11164279007701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9599551446 + ... + 9599552608.

Almost surely, 2^{11164279007401} is an apocalyptic number.

11164279007401 is the 3341299-th square number.

11164279007401 is the 1670650-th centered octagonal number.

It is an amenable number.

11164279007401 is a deficient number, since it is larger than the sum of its proper divisors (1694677787770).

11164279007401 is an frugal number, since it uses more digits than its factorization.

11164279007401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 11164279007401 in words is "eleven trillion, one hundred sixty-four billion, two hundred seventy-nine million, seven thousand, four hundred one".