14946405120 has 432 divisors, whose sum is σ = 55511033760. Its totient is φ = 3845947392.

The previous prime is 14946405113. The next prime is 14946405139. The reversal of 14946405120 is 2150464941.

14946405120 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 640 + 5 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×14946405120² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9019332 + ... + 9020988.

Almost surely, 2^14946405120 is an apocalyptic number.

14946405120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14946405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27755516880).

14946405120 is an abundant number, since it is smaller than the sum of its proper divisors (40564628640).

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

14946405120 is an equidigital number, since it uses as much as digits as its factorization.

14946405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14946405120 in words is "fourteen billion, nine hundred forty-six million, four hundred five thousand, one hundred twenty".