23645434541400 has 648 divisors, whose sum is σ = 98127532042020. Its totient is φ = 5086743459840.

The previous prime is 23645434541341. The next prime is 23645434541401. The reversal of 23645434541400 is 414543454632.

23645434541400 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 54 + 3 + 454 + 140 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23645434541401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 25025979 + ... + 25953621.

Almost surely, 2^{23645434541400} is an apocalyptic number.

23645434541400 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 23645434541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49063766021010).

23645434541400 is an abundant number, since it is smaller than the sum of its proper divisors (74482097500620).

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

23645434541400 is a wasteful number, since it uses less digits than its factorization.

23645434541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927713 (or 927677 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 23645434541400 in words is "twenty-three trillion, six hundred forty-five billion, four hundred thirty-four million, five hundred forty-one thousand, four hundred".