46005102144 has 189 divisors, whose sum is σ = 137345040651. Its totient is φ = 15288704640.

The previous prime is 46005102133. The next prime is 46005102163. The reversal of 46005102144 is 44120150064.

The square root of 46005102144 is 214488.

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

46005102144 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 510 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138988059 + ... + 138988389.

Almost surely, 2^46005102144 is an apocalyptic number.

46005102144 is the 214488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46005102144

46005102144 is an abundant number, since it is smaller than the sum of its proper divisors (91339938507).

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

46005102144 is an frugal number, since it uses more digits than its factorization.

46005102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 46005102144 in words is "forty-six billion, five million, one hundred two thousand, one hundred forty-four".