14461206480 has 160 divisors (see below), whose sum is σ = 56926713600. Its totient is φ = 3305415168.

The previous prime is 14461206479. The next prime is 14461206481. The reversal of 14461206480 is 8460216441.

It is a happy number.

14461206480 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 1 + 2 + 0 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14461206479) and next prime (14461206481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14461206481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463095 + ... + 493334.

It is an arithmetic number, because the mean of its divisors is an integer number (355791960).

Almost surely, 2^14461206480 is an apocalyptic number.

14461206480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14461206480 is an abundant number, since it is smaller than the sum of its proper divisors (42465507120).

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

14461206480 is a wasteful number, since it uses less digits than its factorization.

14461206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956458 (or 956446 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14461206480 in words is "fourteen billion, four hundred sixty-one million, two hundred six thousand, four hundred eighty".