12622573254144 has 320 divisors, whose sum is σ = 38852065308672. Its totient is φ = 3567139430400.

The previous prime is 12622573254143. The next prime is 12622573254149. The reversal of 12622573254144 is 44145237522621.

It is a super-2 number, since 2×12622573254144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12622573254093 and 12622573254102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12622573254143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432398589 + ... + 432427779.

Almost surely, 2^{12622573254144} is an apocalyptic number.

12622573254144 is a gapful number since it is divisible by the number (14) 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 12622573254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426032654336).

12622573254144 is an abundant number, since it is smaller than the sum of its proper divisors (26229492054528).

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

12622573254144 is a wasteful number, since it uses less digits than its factorization.

12622573254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29657 (or 29641 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 12622573254144 in words is "twelve trillion, six hundred twenty-two billion, five hundred seventy-three million, two hundred fifty-four thousand, one hundred forty-four".