14625341640 has 512 divisors, whose sum is σ = 61246080000. Its totient is φ = 3084770304.

The previous prime is 14625341597. The next prime is 14625341641. The reversal of 14625341640 is 4614352641.

14625341640 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 5 + 3 + 4 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14625341595 and 14625341604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14625341641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4814202 + ... + 4817238.

It is an arithmetic number, because the mean of its divisors is an integer number (119621250).

Almost surely, 2^14625341640 is an apocalyptic number.

14625341640 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 14625341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623040000).

14625341640 is an abundant number, since it is smaller than the sum of its proper divisors (46620738360).

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

14625341640 is a wasteful number, since it uses less digits than its factorization.

14625341640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14625341640 in words is "fourteen billion, six hundred twenty-five million, three hundred forty-one thousand, six hundred forty".