23728418961408 has 1440 divisors, whose sum is σ = 85094321392080. Its totient is φ = 6591619399680.

The previous prime is 23728418961391. The next prime is 23728418961479. The reversal of 23728418961408 is 80416981482732.

It is a happy number.

23728418961408 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 8 + 4 + 1 + 8 + 9 + 614 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80984364910 + ... + 80984365202.

Almost surely, 2^{23728418961408} is an apocalyptic number.

23728418961408 is a gapful number since it is divisible by the number (28) 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 23728418961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547160696040).

23728418961408 is an abundant number, since it is smaller than the sum of its proper divisors (61365902430672).

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

23728418961408 is an frugal number, since it uses more digits than its factorization.

23728418961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 23728418961408 in words is "twenty-three trillion, seven hundred twenty-eight billion, four hundred eighteen million, nine hundred sixty-one thousand, four hundred eight".