10428467319648 has 72 divisors (see below), whose sum is σ = 33892518795408. Its totient is φ = 2979562090752.

The previous prime is 10428467319637. The next prime is 10428467319727. The reversal of 10428467319648 is 84691376482401.

10428467319648 is a `hidden beast` number, since 1 + 0 + 42 + 8 + 467 + 3 + 1 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2586423411 + ... + 2586427442.

It is an arithmetic number, because the mean of its divisors is an integer number (470729427714).

Almost surely, 2^{10428467319648} is an apocalyptic number.

10428467319648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10428467319648 is an abundant number, since it is smaller than the sum of its proper divisors (23464051475760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10428467319648 is a wasteful number, since it uses less digits than its factorization.

10428467319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172850876 (or 5172850865 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 10428467319648 in words is "ten trillion, four hundred twenty-eight billion, four hundred sixty-seven million, three hundred nineteen thousand, six hundred forty-eight".