33049954863072 has 1152 divisors, whose sum is σ = 121445699880960. Its totient is φ = 8633524838400.

The previous prime is 33049954863041. The next prime is 33049954863109. The reversal of 33049954863072 is 27036845994033.

33049954863072 is a `hidden beast` number, since 3 + 3 + 0 + 499 + 5 + 48 + 6 + 30 + 72 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3666916038 + ... + 3666925050.

It is an arithmetic number, because the mean of its divisors is an integer number (105421614480).

Almost surely, 2^{33049954863072} is an apocalyptic number.

33049954863072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33049954863072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60722849940480).

33049954863072 is an abundant number, since it is smaller than the sum of its proper divisors (88395745017888).

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

33049954863072 is a wasteful number, since it uses less digits than its factorization.

33049954863072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 33049954863072 in words is "thirty-three trillion, forty-nine billion, nine hundred fifty-four million, eight hundred sixty-three thousand, seventy-two".