13945324957460 has 192 divisors, whose sum is σ = 32270446656000. Its totient is φ = 5030312122368.

The previous prime is 13945324957457. The next prime is 13945324957477. The reversal of 13945324957460 is 6475942354931.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13945324957393 and 13945324957402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7421672801 + ... + 7421674679.

It is an arithmetic number, because the mean of its divisors is an integer number (168075243000).

Almost surely, 2^{13945324957460} is an apocalyptic number.

13945324957460 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 13945324957460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135223328000).

13945324957460 is an abundant number, since it is smaller than the sum of its proper divisors (18325121698540).

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

13945324957460 is a wasteful number, since it uses less digits than its factorization.

13945324957460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 62.

The spelling of 13945324957460 in words is "thirteen trillion, nine hundred forty-five billion, three hundred twenty-four million, nine hundred fifty-seven thousand, four hundred sixty".