23155945113600 has 1728 divisors, whose sum is σ = 94174820550720. Its totient is φ = 5604094771200.

The previous prime is 23155945113583. The next prime is 23155945113611. The reversal of 23155945113600 is 631154955132.

23155945113600 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 594 + 51 + 1 + 3 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9866187627 + ... + 9866189973.

Almost surely, 2^{23155945113600} is an apocalyptic number.

23155945113600 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 23155945113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47087410275360).

23155945113600 is an abundant number, since it is smaller than the sum of its proper divisors (71018875437120).

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

23155945113600 is a wasteful number, since it uses less digits than its factorization.

23155945113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 23155945113600 in words is "twenty-three trillion, one hundred fifty-five billion, nine hundred forty-five million, one hundred thirteen thousand, six hundred".