46493243384832 has 2640 divisors, whose sum is σ = 166436152819200. Its totient is φ = 12865052344320.

The previous prime is 46493243384831. The next prime is 46493243384837. The reversal of 46493243384832 is 23848334239464.

46493243384832 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 3 + 243 + 384 + 8 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46493243384832.

It is not an unprimeable number, because it can be changed into a prime (46493243384831) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 522395993044 + ... + 522395993132.

It is an arithmetic number, because the mean of its divisors is an integer number (63043997280).

Almost surely, 2^{46493243384832} 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 46493243384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83218076409600).

46493243384832 is an abundant number, since it is smaller than the sum of its proper divisors (119942909434368).

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

46493243384832 is a wasteful number, since it uses less digits than its factorization.

46493243384832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 198 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 63.

The spelling of 46493243384832 in words is "forty-six trillion, four hundred ninety-three billion, two hundred forty-three million, three hundred eighty-four thousand, eight hundred thirty-two".