33987444521472 has 800 divisors, whose sum is σ = 116661338196480. Its totient is φ = 9771214602240.

The previous prime is 33987444521467. The next prime is 33987444521609. The reversal of 33987444521472 is 27412544478933.

33987444521472 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 74 + 44 + 52 + 1 + 472 = 666.

It is a super-3 number, since 3×33987444521472³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484648203 + ... + 484718325.

Almost surely, 2^{33987444521472} is an apocalyptic number.

33987444521472 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 33987444521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58330669098240).

33987444521472 is an abundant number, since it is smaller than the sum of its proper divisors (82673893675008).

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

33987444521472 is a wasteful number, since it uses less digits than its factorization.

33987444521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70226 (or 70201 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 33987444521472 in words is "thirty-three trillion, nine hundred eighty-seven billion, four hundred forty-four million, five hundred twenty-one thousand, four hundred seventy-two".