13822136294400 has 3168 divisors, whose sum is σ = 62354452392960. Its totient is φ = 2855078461440.

The previous prime is 13822136294377. The next prime is 13822136294441. The reversal of 13822136294400 is 449263122831.

13822136294400 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 2 + 13 + 629 + 4 + 4 + 0 + 0 = 666.

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

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, 82767283117 + ... + 82767283283.

Almost surely, 2^{13822136294400} is an apocalyptic number.

13822136294400 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 13822136294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177226196480).

13822136294400 is an abundant number, since it is smaller than the sum of its proper divisors (48532316098560).

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

13822136294400 is a wasteful number, since it uses less digits than its factorization.

13822136294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13822136294400 in words is "thirteen trillion, eight hundred twenty-two billion, one hundred thirty-six million, two hundred ninety-four thousand, four hundred".