23613214141440 has 1760 divisors, whose sum is σ = 107747221469184. Its totient is φ = 4801940029440.

The previous prime is 23613214141411. The next prime is 23613214141457. The reversal of 23613214141440 is 4414141231632.

It is a happy number.

23613214141440 is a `hidden beast` number, since 2 + 3 + 6 + 1 + 32 + 141 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 = 23613214141395 and 23613214141404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1500863814 + ... + 1500879546.

Almost surely, 2^{23613214141440} is an apocalyptic number.

23613214141440 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 23613214141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53873610734592).

23613214141440 is an abundant number, since it is smaller than the sum of its proper divisors (84134007327744).

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

23613214141440 is a wasteful number, since it uses less digits than its factorization.

23613214141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15835 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23613214141440 in words is "twenty-three trillion, six hundred thirteen billion, two hundred fourteen million, one hundred forty-one thousand, four hundred forty".