33821401152 has 168 divisors, whose sum is σ = 112412442688. Its totient is φ = 8784737280.

The previous prime is 33821401147. The next prime is 33821401153. The reversal of 33821401152 is 25110412833.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×33821401152² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33821401153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58638 + ... + 266610.

Almost surely, 2^33821401152 is an apocalyptic number.

33821401152 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 33821401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56206221344).

33821401152 is an abundant number, since it is smaller than the sum of its proper divisors (78591041536).

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

33821401152 is a wasteful number, since it uses less digits than its factorization.

33821401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208017 (or 207996 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 33821401152 its reverse (25110412833), we get a palindrome (58931813985).

The spelling of 33821401152 in words is "thirty-three billion, eight hundred twenty-one million, four hundred one thousand, one hundred fifty-two".