2287153405152 has 960 divisors, whose sum is σ = 9066749852160. Its totient is φ = 547554816000.

The previous prime is 2287153405127. The next prime is 2287153405153. The reversal of 2287153405152 is 2515043517822.

2287153405152 is a `hidden beast` number, since 2 + 2 + 87 + 1 + 53 + 4 + 0 + 515 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2287153405098 and 2287153405107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287153405153) 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 159 ways as a sum of consecutive naturals, for example, 140299402 + ... + 140315702.

It is an arithmetic number, because the mean of its divisors is an integer number (9444531096).

Almost surely, 2^{2287153405152} is an apocalyptic number.

2287153405152 is a gapful number since it is divisible by the number (22) 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 2287153405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533374926080).

2287153405152 is an abundant number, since it is smaller than the sum of its proper divisors (6779596447008).

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

2287153405152 is a wasteful number, since it uses less digits than its factorization.

2287153405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16397 (or 16380 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 2287153405152 in words is "two trillion, two hundred eighty-seven billion, one hundred fifty-three million, four hundred five thousand, one hundred fifty-two".