1836268640496 has 200 divisors, whose sum is σ = 5460711801600. Its totient is φ = 597850497216.

The previous prime is 1836268640491. The next prime is 1836268640543. The reversal of 1836268640496 is 6940468626381.

1836268640496 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 26 + 86 + 40 + 496 = 666.

It is a super-2 number, since 2×1836268640496² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1836268640491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13474105 + ... + 13609703.

It is an arithmetic number, because the mean of its divisors is an integer number (27303559008).

Almost surely, 2^{1836268640496} is an apocalyptic number.

1836268640496 is a gapful number since it is divisible by the number (16) 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 1836268640496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730355900800).

1836268640496 is an abundant number, since it is smaller than the sum of its proper divisors (3624443161104).

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

1836268640496 is an frugal number, since it uses more digits than its factorization.

1836268640496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135677 (or 135647 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 1836268640496 in words is "one trillion, eight hundred thirty-six billion, two hundred sixty-eight million, six hundred forty thousand, four hundred ninety-six".