1026148416201 has 24 divisors (see below), whose sum is σ = 1583512629920. Its totient is φ = 638420688576.

The previous prime is 1026148416179. The next prime is 1026148416229.

1026148416201 is a `hidden beast` number, since 1 + 0 + 2 + 614 + 8 + 4 + 16 + 20 + 1 = 666.

1026148416201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1026148416201 - 2¹¹ = 1026148414153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1026148416281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44771140 + ... + 44794053.

Almost surely, 2^{1026148416201} is an apocalyptic number.

It is an amenable number.

1026148416201 is a deficient number, since it is larger than the sum of its proper divisors (557364213719).

1026148416201 is a wasteful number, since it uses less digits than its factorization.

1026148416201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89565285 (or 89565282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1026148416201 in words is "one trillion, twenty-six billion, one hundred forty-eight million, four hundred sixteen thousand, two hundred one".