33149484900 has 675 divisors, whose sum is σ = 132814128909. Its totient is φ = 7131317760.

The previous prime is 33149484881. The next prime is 33149484931. The reversal of 33149484900 is 948494133.

It is a happy number.

The square root of 33149484900 is 182070.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3612250404 + 29537234496 = 60102^2 + 171864^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1949969692 + ... + 1949969708.

Almost surely, 2^33149484900 is an apocalyptic number.

33149484900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33149484900 is the 182070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33149484900

33149484900 is an abundant number, since it is smaller than the sum of its proper divisors (99664644009).

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

33149484900 is an equidigital number, since it uses as much as digits as its factorization.

33149484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 33149484900 in words is "thirty-three billion, one hundred forty-nine million, four hundred eighty-four thousand, nine hundred".