1463904172101 has 24 divisors (see below), whose sum is σ = 2280045490560. Its totient is φ = 833016580032.

The previous prime is 1463904172097. The next prime is 1463904172103. The reversal of 1463904172101 is 1012714093641.

It is not a de Polignac number, because 1463904172101 - 2² = 1463904172097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1463904172101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463904172103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20798616 + ... + 20868881.

It is an arithmetic number, because the mean of its divisors is an integer number (95001895440).

Almost surely, 2^{1463904172101} is an apocalyptic number.

It is an amenable number.

1463904172101 is a deficient number, since it is larger than the sum of its proper divisors (816141318459).

1463904172101 is a wasteful number, since it uses less digits than its factorization.

1463904172101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41667753 (or 41667746 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 1463904172101 in words is "one trillion, four hundred sixty-three billion, nine hundred four million, one hundred seventy-two thousand, one hundred one".