23138438400 has 1728 divisors, whose sum is σ = 110952898560. Its totient is φ = 4578508800.

The previous prime is 23138438383. The next prime is 23138438419. The reversal of 23138438400 is 483483132.

It is a happy number.

23138438400 is a `hidden beast` number, since 231 + 384 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 492307177 + ... + 492307223.

Almost surely, 2^23138438400 is an apocalyptic number.

23138438400 is a gapful number since it is divisible by the number (20) 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 23138438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55476449280).

23138438400 is an abundant number, since it is smaller than the sum of its proper divisors (87814460160).

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

23138438400 is a wasteful number, since it uses less digits than its factorization.

23138438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

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

The spelling of 23138438400 in words is "twenty-three billion, one hundred thirty-eight million, four hundred thirty-eight thousand, four hundred".