3153325900896 has 144 divisors (see below), whose sum is σ = 8994953167200. Its totient is φ = 1047868047360.

The previous prime is 3153325900891. The next prime is 3153325900903. The reversal of 3153325900896 is 6980095233513.

3153325900896 is a `hidden beast` number, since 3 + 1 + 533 + 25 + 9 + 0 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3153325900891) 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, 153071205 + ... + 153091803.

It is an arithmetic number, because the mean of its divisors is an integer number (62464952550).

Almost surely, 2^{3153325900896} is an apocalyptic number.

3153325900896 is a gapful number since it is divisible by the number (36) 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 3153325900896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497476583600).

3153325900896 is an abundant number, since it is smaller than the sum of its proper divisors (5841627266304).

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

3153325900896 is a wasteful number, since it uses less digits than its factorization.

3153325900896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22229 (or 22218 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3153325900896 in words is "three trillion, one hundred fifty-three billion, three hundred twenty-five million, nine hundred thousand, eight hundred ninety-six".