33514215052140 has 144 divisors (see below), whose sum is σ = 101970724171680. Its totient is φ = 8909813913600.

The previous prime is 33514215052001. The next prime is 33514215052159. The reversal of 33514215052140 is 4125051241533.

33514215052140 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 4 + 2 + 1 + 505 + 2 + 140 = 666.

It is a super-2 number, since 2×33514215052140² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33514215052095 and 33514215052104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128855746 + ... + 129115574.

It is an arithmetic number, because the mean of its divisors is an integer number (708130028970).

Almost surely, 2^{33514215052140} is an apocalyptic number.

33514215052140 is a gapful number since it is divisible by the number (30) 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 33514215052140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50985362085840).

33514215052140 is an abundant number, since it is smaller than the sum of its proper divisors (68456509119540).

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

33514215052140 is a wasteful number, since it uses less digits than its factorization.

33514215052140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262032 (or 262027 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 33514215052140 its reverse (4125051241533), we get a palindrome (37639266293673).

The spelling of 33514215052140 in words is "thirty-three trillion, five hundred fourteen billion, two hundred fifteen million, fifty-two thousand, one hundred forty".