14946948144 has 100 divisors (see below), whose sum is σ = 43500497040. Its totient is φ = 4954711680.

The previous prime is 14946948113. The next prime is 14946948161. The reversal of 14946948144 is 44184964941.

14946948144 is a `hidden beast` number, since 1 + 494 + 6 + 9 + 4 + 8 + 144 = 666.

It is a super-2 number, since 2×14946948144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202717 + ... + 266435.

Almost surely, 2^14946948144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14946948144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750248520).

14946948144 is an abundant number, since it is smaller than the sum of its proper divisors (28553548896).

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

14946948144 is a wasteful number, since it uses less digits than its factorization.

14946948144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63920 (or 63905 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 14946948144 in words is "fourteen billion, nine hundred forty-six million, nine hundred forty-eight thousand, one hundred forty-four".