33484608144 has 675 divisors, whose sum is σ = 116536416843. Its totient is φ = 9275295744.

The previous prime is 33484608139. The next prime is 33484608187. The reversal of 33484608144 is 44180648433.

The square root of 33484608144 is 182988.

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

33484608144 is a `hidden beast` number, since 3 + 3 + 48 + 460 + 8 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 302342544 + 33182265600 = 17388^2 + 182160^2 .

It is a super-2 number, since 2×33484608144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33484608144.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1455852517 + ... + 1455852539.

Almost surely, 2^33484608144 is an apocalyptic number.

33484608144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

33484608144 is the 182988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33484608144

33484608144 is an abundant number, since it is smaller than the sum of its proper divisors (83051808699).

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

33484608144 is a wasteful number, since it uses less digits than its factorization.

33484608144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 33484608144 in words is "thirty-three billion, four hundred eighty-four million, six hundred eight thousand, one hundred forty-four".