18434628021600 has 2304 divisors, whose sum is σ = 79847389440000. Its totient is φ = 4101647155200.

The previous prime is 18434628021517. The next prime is 18434628021619. The reversal of 18434628021600 is 612082643481.

18434628021600 is a `hidden beast` number, since 1 + 8 + 4 + 3 + 4 + 628 + 0 + 2 + 16 + 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 383 ways as a sum of consecutive naturals, for example, 79118575084 + ... + 79118575316.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985000).

Almost surely, 2^{18434628021600} is an apocalyptic number.

18434628021600 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 18434628021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39923694720000).

18434628021600 is an abundant number, since it is smaller than the sum of its proper divisors (61412761418400).

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

18434628021600 is a wasteful number, since it uses less digits than its factorization.

18434628021600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 18434628021600 in words is "eighteen trillion, four hundred thirty-four billion, six hundred twenty-eight million, twenty-one thousand, six hundred".