33350625000000 has 2079 divisors, whose sum is σ = 152786019820161. Its totient is φ = 6930000000000.

The previous prime is 33350624999977. The next prime is 33350625000029. The reversal of 33350625000000 is 52605333.

The square root of 33350625000000 is 5775000.

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

33350625000000 is a `hidden beast` number, since 3 + 3 + 35 + 0 + 625 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 191822976576 + 33158802023424 = 437976^2 + 5758368^2 .

It is a super-2 number, since 2×33350625000000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 3031874999995 + ... + 3031875000005.

Almost surely, 2^{33350625000000} is an apocalyptic number.

33350625000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33350625000000 is the 5775000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33350625000000

33350625000000 is an abundant number, since it is smaller than the sum of its proper divisors (119435394820161).

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

33350625000000 is an frugal number, since it uses more digits than its factorization.

33350625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 33350625000000 its reverse (52605333), we get a palindrome (33350677605333).

The spelling of 33350625000000 in words is "thirty-three trillion, three hundred fifty billion, six hundred twenty-five million", and thus it is an aban number.