2256142636350 has 144 divisors (see below), whose sum is σ = 6153930435744. Its totient is φ = 592483584000.

The previous prime is 2256142636313. The next prime is 2256142636379. The reversal of 2256142636350 is 536362416522.

2256142636350 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 4 + 2 + 6 + 3 + 635 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2256142636296 and 2256142636305.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 28107874 + ... + 28188026.

It is an arithmetic number, because the mean of its divisors is an integer number (42735628026).

Almost surely, 2^{2256142636350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256142636350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076965217872).

2256142636350 is an abundant number, since it is smaller than the sum of its proper divisors (3897787799394).

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

2256142636350 is a wasteful number, since it uses less digits than its factorization.

2256142636350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81123 (or 81115 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2256142636350 in words is "two trillion, two hundred fifty-six billion, one hundred forty-two million, six hundred thirty-six thousand, three hundred fifty".