2252236347648 has 432 divisors, whose sum is σ = 7944614752256. Its totient is φ = 622734428160.

The previous prime is 2252236347619. The next prime is 2252236347671. The reversal of 2252236347648 is 8467436322522.

2252236347648 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 236 + 347 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 2252236347594 and 2252236347603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13415715 + ... + 13582557.

Almost surely, 2^{2252236347648} is an apocalyptic number.

2252236347648 is a gapful number since it is divisible by the number (28) 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 2252236347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972307376128).

2252236347648 is an abundant number, since it is smaller than the sum of its proper divisors (5692378404608).

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

2252236347648 is an equidigital number, since it uses as much as digits as its factorization.

2252236347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166912 (or 166886 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 2252236347648 in words is "two trillion, two hundred fifty-two billion, two hundred thirty-six million, three hundred forty-seven thousand, six hundred forty-eight".