2253751625664 has 1960 divisors, whose sum is σ = 8958173437440. Its totient is φ = 556904678400.

The previous prime is 2253751625639. The next prime is 2253751625669. The reversal of 2253751625664 is 4665261573522.

2253751625664 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 7 + 5 + 1 + 625 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2253751625664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253751625669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 38199180067 + ... + 38199180125.

Almost surely, 2^{2253751625664} is an apocalyptic number.

2253751625664 is a gapful number since it is divisible by the number (24) 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 2253751625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479086718720).

2253751625664 is an abundant number, since it is smaller than the sum of its proper divisors (6704421811776).

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

2253751625664 is an frugal number, since it uses more digits than its factorization.

2253751625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 2253751625664 in words is "two trillion, two hundred fifty-three billion, seven hundred fifty-one million, six hundred twenty-five thousand, six hundred sixty-four".