33981251472 has 240 divisors, whose sum is σ = 111386620800. Its totient is φ = 9666720000.

The previous prime is 33981251471. The next prime is 33981251483. The reversal of 33981251472 is 27415218933.

It is a happy number.

33981251472 is a `hidden beast` number, since 3 + 398 + 1 + 251 + 4 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (33981251471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12396022 + ... + 12398762.

It is an arithmetic number, because the mean of its divisors is an integer number (464110920).

Almost surely, 2^33981251472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33981251472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55693310400).

33981251472 is an abundant number, since it is smaller than the sum of its proper divisors (77405369328).

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

33981251472 is a wasteful number, since it uses less digits than its factorization.

33981251472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3004 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 33981251472 in words is "thirty-three billion, nine hundred eighty-one million, two hundred fifty-one thousand, four hundred seventy-two".