46505350894500 has 480 divisors, whose sum is σ = 156733836779520. Its totient is φ = 11992574880000.

The previous prime is 46505350894487. The next prime is 46505350894511. The reversal of 46505350894500 is 549805350564.

46505350894500 is a `hidden beast` number, since 4 + 6 + 5 + 0 + 5 + 3 + 50 + 89 + 4 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1806651630 + ... + 1806677370.

It is an arithmetic number, because the mean of its divisors is an integer number (326528826624).

Almost surely, 2^{46505350894500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46505350894500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78366918389760).

46505350894500 is an abundant number, since it is smaller than the sum of its proper divisors (110228485885020).

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

46505350894500 is a wasteful number, since it uses less digits than its factorization.

46505350894500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27242 (or 27221 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 46505350894500 in words is "forty-six trillion, five hundred five billion, three hundred fifty million, eight hundred ninety-four thousand, five hundred".