2253638914956 has 576 divisors, whose sum is σ = 6956827637760. Its totient is φ = 606092820480.

The previous prime is 2253638914939. The next prime is 2253638914963. The reversal of 2253638914956 is 6594198363522.

It is a happy number.

2253638914956 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 63 + 89 + 1 + 495 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2253638914893 and 2253638914902.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3800402596 + ... + 3800403188.

It is an arithmetic number, because the mean of its divisors is an integer number (12077825760).

Almost surely, 2^{2253638914956} is an apocalyptic number.

2253638914956 is a gapful number since it is divisible by the number (26) 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 2253638914956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478413818880).

2253638914956 is an abundant number, since it is smaller than the sum of its proper divisors (4703188722804).

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

2253638914956 is a wasteful number, since it uses less digits than its factorization.

2253638914956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 2253638914956 in words is "two trillion, two hundred fifty-three billion, six hundred thirty-eight million, nine hundred fourteen thousand, nine hundred fifty-six".