18345541293450 has 1536 divisors, whose sum is σ = 65003199528960. Its totient is φ = 3706560000000.

The previous prime is 18345541293413. The next prime is 18345541293503. The reversal of 18345541293450 is 5439214554381.

18345541293450 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 5 + 541 + 2 + 93 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 73089805825 + ... + 73089806075.

It is an arithmetic number, because the mean of its divisors is an integer number (42319791360).

Almost surely, 2^{18345541293450} is an apocalyptic number.

18345541293450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18345541293450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32501599764480).

18345541293450 is an abundant number, since it is smaller than the sum of its proper divisors (46657658235510).

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

18345541293450 is a wasteful number, since it uses less digits than its factorization.

18345541293450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 18345541293450 in words is "eighteen trillion, three hundred forty-five billion, five hundred forty-one million, two hundred ninety-three thousand, four hundred fifty".