33458916144 has 20 divisors (see below), whose sum is σ = 86435533496. Its totient is φ = 11152972032.

The previous prime is 33458916131. The next prime is 33458916149. The reversal of 33458916144 is 44161985433.

It is a super-2 number, since 2×33458916144² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 697060753 = 33458916144 / (3 + 3 + 4 + 5 + 8 + 9 + 1 + 6 + 1 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 33458916093 and 33458916102.

It is not an unprimeable number, because it can be changed into a prime (33458916149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348530329 + ... + 348530424.

Almost surely, 2^33458916144 is an apocalyptic number.

It is an amenable number.

33458916144 is an abundant number, since it is smaller than the sum of its proper divisors (52976617352).

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

33458916144 is a wasteful number, since it uses less digits than its factorization.

33458916144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697060764 (or 697060758 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 33458916144 in words is "thirty-three billion, four hundred fifty-eight million, nine hundred sixteen thousand, one hundred forty-four".