13825312929792 has 1152 divisors, whose sum is σ = 51055966241280. Its totient is φ = 3507058114560.

The previous prime is 13825312929781. The next prime is 13825312929829. The reversal of 13825312929792 is 29792921352831.

13825312929792 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 531 + 2 + 9 + 2 + 9 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13825312929792² (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 95 ways as a sum of consecutive naturals, for example, 4832334442 + ... + 4832337302.

It is an arithmetic number, because the mean of its divisors is an integer number (44319415140).

Almost surely, 2^{13825312929792} is an apocalyptic number.

13825312929792 is a gapful number since it is divisible by the number (12) 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 13825312929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25527983120640).

13825312929792 is an abundant number, since it is smaller than the sum of its proper divisors (37230653311488).

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

13825312929792 is a wasteful number, since it uses less digits than its factorization.

13825312929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 2996 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 13825312929792 in words is "thirteen trillion, eight hundred twenty-five billion, three hundred twelve million, nine hundred twenty-nine thousand, seven hundred ninety-two".