18389434752000 has 1408 divisors, whose sum is σ = 77503869031680. Its totient is φ = 4260180787200.

The previous prime is 18389434751921. The next prime is 18389434752011. The reversal of 18389434752000 is 25743498381.

It is a happy number.

18389434752000 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 94 + 347 + 5 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 763763962 + ... + 763788038.

Almost surely, 2^{18389434752000} is an apocalyptic number.

18389434752000 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 18389434752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38751934515840).

18389434752000 is an abundant number, since it is smaller than the sum of its proper divisors (59114434279680).

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

18389434752000 is a wasteful number, since it uses less digits than its factorization.

18389434752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24151 (or 24117 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18389434752000 in words is "eighteen trillion, three hundred eighty-nine billion, four hundred thirty-four million, seven hundred fifty-two thousand".