10484248401 has 48 divisors (see below), whose sum is σ = 17381849472. Its totient is φ = 6077665440.

The previous prime is 10484248363. The next prime is 10484248409.

10484248401 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 4 + 248 + 401 = 666.

10484248401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10484248401 - 2⁶ = 10484248337 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10484248409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256491 + ... + 294543.

It is an arithmetic number, because the mean of its divisors is an integer number (362121864).

Almost surely, 2^10484248401 is an apocalyptic number.

10484248401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10484248401 is a deficient number, since it is larger than the sum of its proper divisors (6897601071).

10484248401 is a wasteful number, since it uses less digits than its factorization.

10484248401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38115 (or 38090 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 10484248401 in words is "ten billion, four hundred eighty-four million, two hundred forty-eight thousand, four hundred one".