14857345440000 has 2160 divisors, whose sum is σ = 63221786852224. Its totient is φ = 3284582400000.

The previous prime is 14857345439969. The next prime is 14857345440001. The reversal of 14857345440000 is 4454375841.

14857345440000 is a `hidden beast` number, since 14 + 85 + 73 + 454 + 40 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14857345440001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44886239835 + ... + 44886240165.

Almost surely, 2^{14857345440000} is an apocalyptic number.

14857345440000 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 14857345440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610893426112).

14857345440000 is an abundant number, since it is smaller than the sum of its proper divisors (48364441412224).

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

14857345440000 is an equidigital number, since it uses as much as digits as its factorization.

14857345440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 14857345440000 in words is "fourteen trillion, eight hundred fifty-seven billion, three hundred forty-five million, four hundred forty thousand".