11451146046101 has 8 divisors (see below), whose sum is σ = 11524221381120. Its totient is φ = 11378124349488.

The previous prime is 11451146046089. The next prime is 11451146046113. The reversal of 11451146046101 is 10164064115411.

11451146046101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11451146046089) and next prime (11451146046113).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11451146046101 is a prime.

It is a super-2 number, since 2×11451146046101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451146046161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12981221 + ... + 13835258.

It is an arithmetic number, because the mean of its divisors is an integer number (1440527672640).

Almost surely, 2^{11451146046101} is an apocalyptic number.

It is an amenable number.

11451146046101 is a deficient number, since it is larger than the sum of its proper divisors (73075335019).

11451146046101 is a wasteful number, since it uses less digits than its factorization.

11451146046101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26819203.

The product of its (nonzero) digits is 11520, while the sum is 35.

The spelling of 11451146046101 in words is "eleven trillion, four hundred fifty-one billion, one hundred forty-six million, forty-six thousand, one hundred one".