14948720640 has 448 divisors, whose sum is σ = 60771755520. Its totient is φ = 3415080960.

The previous prime is 14948720639. The next prime is 14948720641. The reversal of 14948720640 is 4602784941.

14948720640 is a `hidden beast` number, since 1 + 494 + 87 + 20 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14948720639) and next prime (14948720641).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14948720641) 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, 7740475 + ... + 7742405.

It is an arithmetic number, because the mean of its divisors is an integer number (135651240).

Almost surely, 2^14948720640 is an apocalyptic number.

14948720640 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 14948720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30385877760).

14948720640 is an abundant number, since it is smaller than the sum of its proper divisors (45823034880).

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

14948720640 is an equidigital number, since it uses as much as digits as its factorization.

14948720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14948720640 in words is "fourteen billion, nine hundred forty-eight million, seven hundred twenty thousand, six hundred forty".