14195485656000 has 3584 divisors, whose sum is σ = 64704407040000. Its totient is φ = 3001909248000.

The previous prime is 14195485655969. The next prime is 14195485656059. The reversal of 14195485656000 is 65658459141.

It is a happy number.

14195485656000 is a `hidden beast` number, since 1 + 4 + 19 + 5 + 4 + 8 + 565 + 60 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40674743826 + ... + 40674744174.

It is an arithmetic number, because the mean of its divisors is an integer number (18053685000).

Almost surely, 2^{14195485656000} is an apocalyptic number.

14195485656000 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 14195485656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32352203520000).

14195485656000 is an abundant number, since it is smaller than the sum of its proper divisors (50508921384000).

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

14195485656000 is a wasteful number, since it uses less digits than its factorization.

14195485656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 14195485656000 in words is "fourteen trillion, one hundred ninety-five billion, four hundred eighty-five million, six hundred fifty-six thousand".