10481167664 has 30 divisors (see below), whose sum is σ = 22156248204. Its totient is φ = 4763549760.

The previous prime is 10481167663. The next prime is 10481167679. The reversal of 10481167664 is 46676118401.

10481167664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (10481167663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1354334 + ... + 1362050.

Almost surely, 2^10481167664 is an apocalyptic number.

It is an amenable number.

10481167664 is an abundant number, since it is smaller than the sum of its proper divisors (11675080540).

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

10481167664 is an frugal number, since it uses more digits than its factorization.

10481167664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15453 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

Multiplying 10481167664 by its sum of digits (44), we get a square (461171377216 = 679096²).

10481167664 divided by its sum of digits (44) gives a square (238208356 = 15434²).

The spelling of 10481167664 in words is "ten billion, four hundred eighty-one million, one hundred sixty-seven thousand, six hundred sixty-four".