23249457540 has 672 divisors, whose sum is σ = 83291846400. Its totient is φ = 5419560960.

The previous prime is 23249457509. The next prime is 23249457541. The reversal of 23249457540 is 4575494232.

23249457540 is a `hidden beast` number, since 2 + 32 + 4 + 9 + 4 + 575 + 40 = 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 (23249457541) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 261229816 + ... + 261229904.

It is an arithmetic number, because the mean of its divisors is an integer number (123946200).

Almost surely, 2^23249457540 is an apocalyptic number.

23249457540 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 23249457540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41645923200).

23249457540 is an abundant number, since it is smaller than the sum of its proper divisors (60042388860).

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

23249457540 is a wasteful number, since it uses less digits than its factorization.

23249457540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 23249457540 in words is "twenty-three billion, two hundred forty-nine million, four hundred fifty-seven thousand, five hundred forty".