123423824160 has 288 divisors, whose sum is σ = 518380611840. Its totient is φ = 26041042944.

The previous prime is 123423824131. The next prime is 123423824189. The reversal of 123423824160 is 61428324321.

123423824160 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 238 + 2 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123423824131) and next prime (123423824189).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×123423824160³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339900 + ... + 601979.

It is an arithmetic number, because the mean of its divisors is an integer number (1799932680).

Almost surely, 2^123423824160 is an apocalyptic number.

123423824160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123423824160 is an abundant number, since it is smaller than the sum of its proper divisors (394956787680).

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

123423824160 is a wasteful number, since it uses less digits than its factorization.

123423824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941920 (or 941909 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 123423824160 in words is "one hundred twenty-three billion, four hundred twenty-three million, eight hundred twenty-four thousand, one hundred sixty".