2251355361066 has 192 divisors, whose sum is σ = 6098271528960. Its totient is φ = 585382256640.

The previous prime is 2251355361041. The next prime is 2251355361089. The reversal of 2251355361066 is 6601635531522.

2251355361066 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 5 + 536 + 106 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82125570 + ... + 82152978.

It is an arithmetic number, because the mean of its divisors is an integer number (31761830880).

Almost surely, 2^{2251355361066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251355361066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049135764480).

2251355361066 is an abundant number, since it is smaller than the sum of its proper divisors (3846916167894).

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

2251355361066 is a wasteful number, since it uses less digits than its factorization.

2251355361066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28709 (or 28706 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 2251355361066 in words is "two trillion, two hundred fifty-one billion, three hundred fifty-five million, three hundred sixty-one thousand, sixty-six".