3133415350144 has 64 divisors (see below), whose sum is σ = 6574581849600. Its totient is φ = 1483416737280.

The previous prime is 3133415350141. The next prime is 3133415350157. The reversal of 3133415350144 is 4410535143313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3133415350144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133415350141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3985489 + ... + 4706479.

It is an arithmetic number, because the mean of its divisors is an integer number (102727841400).

Almost surely, 2^{3133415350144} 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 3133415350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287290924800).

3133415350144 is an abundant number, since it is smaller than the sum of its proper divisors (3441166499456).

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

3133415350144 is a wasteful number, since it uses less digits than its factorization.

3133415350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722811 (or 722799 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 3133415350144 in words is "three trillion, one hundred thirty-three billion, four hundred fifteen million, three hundred fifty thousand, one hundred forty-four".