2153481474816 has 216 divisors, whose sum is σ = 7101645261984. Its totient is φ = 614792724480.

The previous prime is 2153481474811. The next prime is 2153481474847. The reversal of 2153481474816 is 6184741843512.

It is a happy number.

2153481474816 is a `hidden beast` number, since 2 + 1 + 53 + 48 + 1 + 474 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2153481474811) 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, 20543176 + ... + 20647736.

It is an arithmetic number, because the mean of its divisors is an integer number (32877987324).

Almost surely, 2^{2153481474816} 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 2153481474816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550822630992).

2153481474816 is an abundant number, since it is smaller than the sum of its proper divisors (4948163787168).

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

2153481474816 is a wasteful number, since it uses less digits than its factorization.

2153481474816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105867 (or 105850 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 2153481474816 in words is "two trillion, one hundred fifty-three billion, four hundred eighty-one million, four hundred seventy-four thousand, eight hundred sixteen".