123584485501638 has 96 divisors (see below), whose sum is σ = 319441790041920. Its totient is φ = 33792327118080.

The previous prime is 123584485501619. The next prime is 123584485501639. The reversal of 123584485501638 is 836105584485321.

123584485501638 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 8 + 4 + 48 + 550 + 1 + 6 + 38 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123584485501639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217001673 + ... + 217570436.

It is an arithmetic number, because the mean of its divisors is an integer number (3327518646270).

Almost surely, 2^{123584485501638} is an apocalyptic number.

123584485501638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

123584485501638 is an abundant number, since it is smaller than the sum of its proper divisors (195857304540282).

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

123584485501638 is a wasteful number, since it uses less digits than its factorization.

123584485501638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434572222 (or 434572219 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 123584485501638 in words is "one hundred twenty-three trillion, five hundred eighty-four billion, four hundred eighty-five million, five hundred one thousand, six hundred thirty-eight".