10455655401 has 48 divisors (see below), whose sum is σ = 16402538880. Its totient is φ = 6393254400.

The previous prime is 10455655363. The next prime is 10455655489.

10455655401 is a `hidden beast` number, since 1 + 0 + 4 + 55 + 65 + 540 + 1 = 666.

10455655401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10455655401 - 2⁶ = 10455655337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10455655201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220190 + ... + 1228728.

It is an arithmetic number, because the mean of its divisors is an integer number (341719560).

Almost surely, 2^10455655401 is an apocalyptic number.

It is an amenable number.

10455655401 is a deficient number, since it is larger than the sum of its proper divisors (5946883479).

10455655401 is a wasteful number, since it uses less digits than its factorization.

10455655401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

It can be divided in two parts, 10455 and 655401, that added together give a square (665856 = 816²).

The spelling of 10455655401 in words is "ten billion, four hundred fifty-five million, six hundred fifty-five thousand, four hundred one".