23413644540 has 480 divisors, whose sum is σ = 86880245760. Its totient is φ = 5203699200.

The previous prime is 23413644517. The next prime is 23413644559. The reversal of 23413644540 is 4544631432.

23413644540 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 3 + 644 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23413644495 and 23413644504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48880021 + ... + 48880499.

It is an arithmetic number, because the mean of its divisors is an integer number (181000512).

Almost surely, 2^23413644540 is an apocalyptic number.

23413644540 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 23413644540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43440122880).

23413644540 is an abundant number, since it is smaller than the sum of its proper divisors (63466601220).

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

23413644540 is a wasteful number, since it uses less digits than its factorization.

23413644540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23413644540 in words is "twenty-three billion, four hundred thirteen million, six hundred forty-four thousand, five hundred forty".