18434528280480 has 192 divisors, whose sum is σ = 62542145046528. Its totient is φ = 4537254543360.

The previous prime is 18434528280457. The next prime is 18434528280491. The reversal of 18434528280480 is 8408282543481.

It is a self number, because there is not a number n which added to its sum of digits gives 18434528280480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61357825 + ... + 61657535.

It is an arithmetic number, because the mean of its divisors is an integer number (325740338784).

Almost surely, 2^{18434528280480} is an apocalyptic number.

18434528280480 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 18434528280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31271072523264).

18434528280480 is an abundant number, since it is smaller than the sum of its proper divisors (44107616766048).

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

18434528280480 is a wasteful number, since it uses less digits than its factorization.

18434528280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309599 (or 309591 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 57.

The spelling of 18434528280480 in words is "eighteen trillion, four hundred thirty-four billion, five hundred twenty-eight million, two hundred eighty thousand, four hundred eighty".