13825068719616 has 2880 divisors, whose sum is σ = 56739554936064. Its totient is φ = 3310859059200.

The previous prime is 13825068719603. The next prime is 13825068719629. The reversal of 13825068719616 is 61691786052831.

13825068719616 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 5 + 0 + 6 + 8 + 7 + 1 + 9 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (13825068719603) and next prime (13825068719629).

It is a super-2 number, since 2×13825068719616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76381595046 + ... + 76381595226.

Almost surely, 2^{13825068719616} is an apocalyptic number.

13825068719616 is a gapful number since it is divisible by the number (16) 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 13825068719616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28369777468032).

13825068719616 is an abundant number, since it is smaller than the sum of its proper divisors (42914486216448).

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

13825068719616 is a wasteful number, since it uses less digits than its factorization.

13825068719616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 13825068719616 in words is "thirteen trillion, eight hundred twenty-five billion, sixty-eight million, seven hundred nineteen thousand, six hundred sixteen".