12355466350500 has 864 divisors, whose sum is σ = 49086626254848. Its totient is φ = 2593104192000.

The previous prime is 12355466350477. The next prime is 12355466350501. The reversal of 12355466350500 is 505366455321.

12355466350500 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 5 + 4 + 6 + 635 + 0 + 5 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12355466350501) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 547490217 + ... + 547512783.

It is an arithmetic number, because the mean of its divisors is an integer number (56813224832).

Almost surely, 2^{12355466350500} is an apocalyptic number.

12355466350500 is a gapful number since it is divisible by the number (10) 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 12355466350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24543313127424).

12355466350500 is an abundant number, since it is smaller than the sum of its proper divisors (36731159904348).

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

12355466350500 is a wasteful number, since it uses less digits than its factorization.

12355466350500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22810 (or 22788 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 12355466350500 in words is "twelve trillion, three hundred fifty-five billion, four hundred sixty-six million, three hundred fifty thousand, five hundred".