3153326540144 has 80 divisors (see below), whose sum is σ = 6923664000000. Its totient is φ = 1378114133760.

The previous prime is 3153326540129. The next prime is 3153326540149. The reversal of 3153326540144 is 4410456233513.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153326540149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72644 + ... + 2512355.

It is an arithmetic number, because the mean of its divisors is an integer number (86545800000).

Almost surely, 2^{3153326540144} 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 3153326540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461832000000).

3153326540144 is an abundant number, since it is smaller than the sum of its proper divisors (3770337459856).

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

3153326540144 is a wasteful number, since it uses less digits than its factorization.

3153326540144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585286 (or 2585280 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 3153326540144 in words is "three trillion, one hundred fifty-three billion, three hundred twenty-six million, five hundred forty thousand, one hundred forty-four".