123487164900 has 360 divisors, whose sum is σ = 451754835840. Its totient is φ = 28903392000.

The previous prime is 123487164859. The next prime is 123487164901. The reversal of 123487164900 is 9461784321.

123487164900 is a `hidden beast` number, since 1 + 2 + 3 + 487 + 164 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (123487164901) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2560005 + ... + 2607795.

It is an arithmetic number, because the mean of its divisors is an integer number (1254874544).

Almost surely, 2^123487164900 is an apocalyptic number.

123487164900 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 123487164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225877417920).

123487164900 is an abundant number, since it is smaller than the sum of its proper divisors (328267670940).

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

123487164900 is a wasteful number, since it uses less digits than its factorization.

123487164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47857 (or 47841 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 123487164900 in words is "one hundred twenty-three billion, four hundred eighty-seven million, one hundred sixty-four thousand, nine hundred".