46335085632144 has 225 divisors, whose sum is σ = 140208493360089. Its totient is φ = 14771708519040.

The previous prime is 46335085632127. The next prime is 46335085632151. The reversal of 46335085632144 is 44123658053364.

The square root of 46335085632144 is 6806988.

It is a perfect power (a square), and thus also a powerful number.

46335085632144 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 50 + 8 + 563 + 21 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43647322118544 + 2687763513600 = 6606612^2 + 1639440^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5636181954 + ... + 5636190174.

Almost surely, 2^{46335085632144} is an apocalyptic number.

46335085632144 is the 6806988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46335085632144

46335085632144 is an abundant number, since it is smaller than the sum of its proper divisors (93873407727945).

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

46335085632144 is an frugal number, since it uses more digits than its factorization.

46335085632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16508 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 46335085632144 in words is "forty-six trillion, three hundred thirty-five billion, eighty-five million, six hundred thirty-two thousand, one hundred forty-four".