18229138791552 has 768 divisors, whose sum is σ = 62107762953600. Its totient is φ = 5272387780608.

The previous prime is 18229138791517. The next prime is 18229138791553. The reversal of 18229138791552 is 25519783192281.

18229138791552 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 9 + 1 + 3 + 8 + 79 + 1 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18229138791552.

It is not an unprimeable number, because it can be changed into a prime (18229138791553) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8984296074 + ... + 8984298102.

Almost surely, 2^{18229138791552} is an apocalyptic number.

18229138791552 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 18229138791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31053881476800).

18229138791552 is an abundant number, since it is smaller than the sum of its proper divisors (43878624162048).

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

18229138791552 is a wasteful number, since it uses less digits than its factorization.

18229138791552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3371 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 18229138791552 in words is "eighteen trillion, two hundred twenty-nine billion, one hundred thirty-eight million, seven hundred ninety-one thousand, five hundred fifty-two".