23345761356000 has 1152 divisors, whose sum is σ = 88924305375360. Its totient is φ = 6022543104000.

The previous prime is 23345761355999. The next prime is 23345761356037. The reversal of 23345761356000 is 65316754332.

It is a happy number.

23345761356000 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 5 + 7 + 6 + 1 + 35 + 600 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8406826612 + ... + 8406829388.

It is an arithmetic number, because the mean of its divisors is an integer number (77191237305).

Almost surely, 2^{23345761356000} is an apocalyptic number.

23345761356000 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 23345761356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44462152687680).

23345761356000 is an abundant number, since it is smaller than the sum of its proper divisors (65578544019360).

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

23345761356000 is an frugal number, since it uses more digits than its factorization.

23345761356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 23345761356000 in words is "twenty-three trillion, three hundred forty-five billion, seven hundred sixty-one million, three hundred fifty-six thousand".