23154073649424 has 225 divisors, whose sum is σ = 67982318956629. Its totient is φ = 7608140732160.

The previous prime is 23154073649401. The next prime is 23154073649453. The reversal of 23154073649424 is 42494637045132.

The square root of 23154073649424 is 4811868.

It is a perfect power (a square), and thus also a powerful number.

23154073649424 is a `hidden beast` number, since 2 + 3 + 1 + 540 + 7 + 3 + 6 + 4 + 94 + 2 + 4 = 666.

23154073649424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13143380144400 + 10010693505024 = 3625380^2 + 3163968^2 .

It is a super-2 number, since 2×23154073649424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12645588189 + ... + 12645590019.

Almost surely, 2^{23154073649424} is an apocalyptic number.

23154073649424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23154073649424 is the 4811868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23154073649424

23154073649424 is an abundant number, since it is smaller than the sum of its proper divisors (44828245307205).

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

23154073649424 is an frugal number, since it uses more digits than its factorization.

23154073649424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 23154073649424 in words is "twenty-three trillion, one hundred fifty-four billion, seventy-three million, six hundred forty-nine thousand, four hundred twenty-four".