14948769024 has 252 divisors, whose sum is σ = 51133897696. Its totient is φ = 4270703616.

The previous prime is 14948768999. The next prime is 14948769127. The reversal of 14948769024 is 42096784941.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 1300647 + ... + 1312089.

Almost surely, 2^14948769024 is an apocalyptic number.

14948769024 is a gapful number since it is divisible by the number (14) 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 14948769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25566948848).

14948769024 is an abundant number, since it is smaller than the sum of its proper divisors (36185128672).

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

14948769024 is an frugal number, since it uses more digits than its factorization.

14948769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14948769024 in words is "fourteen billion, nine hundred forty-eight million, seven hundred sixty-nine thousand, twenty-four".