14783532844096 has 63 divisors (see below), whose sum is σ = 30384377447151. Its totient is φ = 7136447291904.

The previous prime is 14783532844049. The next prime is 14783532844097. The reversal of 14783532844096 is 69044823538741.

The square root of 14783532844096 is 3844936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 645451560000 + 14138081284096 = 803400^2 + 3760064^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14783532844097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 892016866 + ... + 892033438.

It is a 1-persistent number, because it is pandigital, but 2⋅14783532844096 = 29567065688192 is not.

Almost surely, 2^{14783532844096} is an apocalyptic number.

14783532844096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14783532844096 is the 3844936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14783532844096

14783532844096 is an abundant number, since it is smaller than the sum of its proper divisors (15600844603055).

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

14783532844096 is an frugal number, since it uses more digits than its factorization.

14783532844096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33216 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

Multiplying 14783532844096 by its sum of digits (64), we get a square (946146102022144 = 30759488²).

14783532844096 divided by its sum of digits (64) gives a square (230992700689 = 480617²).

The spelling of 14783532844096 in words is "fourteen trillion, seven hundred eighty-three billion, five hundred thirty-two million, eight hundred forty-four thousand, ninety-six".