46534753549440 has 1280 divisors, whose sum is σ = 185046493040640. Its totient is φ = 11066852966400.

The previous prime is 46534753549399. The next prime is 46534753549441. The reversal of 46534753549440 is 4494535743564.

46534753549440 is a `hidden beast` number, since 4 + 6 + 5 + 3 + 4 + 7 + 535 + 4 + 94 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (46534753549441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15898445257 + ... + 15898448183.

It is an arithmetic number, because the mean of its divisors is an integer number (144567572688).

Almost surely, 2^{46534753549440} is an apocalyptic number.

46534753549440 is a gapful number since it is divisible by the number (40) 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 46534753549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92523246520320).

46534753549440 is an abundant number, since it is smaller than the sum of its proper divisors (138511739491200).

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

46534753549440 is a wasteful number, since it uses less digits than its factorization.

46534753549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 63.

The spelling of 46534753549440 in words is "forty-six trillion, five hundred thirty-four billion, seven hundred fifty-three million, five hundred forty-nine thousand, four hundred forty".