13960945152 has 720 divisors, whose sum is σ = 52355503200. Its totient is φ = 3576545280.

The previous prime is 13960945121. The next prime is 13960945157. The reversal of 13960945152 is 25154906931.

13960945152 is a `hidden beast` number, since 1 + 39 + 609 + 4 + 5 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13960945098 and 13960945107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13960945157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191245788 + ... + 191245860.

Almost surely, 2^13960945152 is an apocalyptic number.

13960945152 is a gapful number since it is divisible by the number (12) 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 13960945152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177751600).

13960945152 is an abundant number, since it is smaller than the sum of its proper divisors (38394558048).

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

13960945152 is an equidigital number, since it uses as much as digits as its factorization.

13960945152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 13960945152 in words is "thirteen billion, nine hundred sixty million, nine hundred forty-five thousand, one hundred fifty-two".