1828493536896 has 384 divisors, whose sum is σ = 5883149880000. Its totient is φ = 558810869760.

The previous prime is 1828493536873. The next prime is 1828493536907. The reversal of 1828493536896 is 6986353948281.

It is a happy number.

1828493536896 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 4 + 9 + 3 + 536 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1828493536896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 87015031 + ... + 87036041.

Almost surely, 2^{1828493536896} is an apocalyptic number.

1828493536896 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 1828493536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941574940000).

1828493536896 is an abundant number, since it is smaller than the sum of its proper divisors (4054656343104).

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

1828493536896 is a wasteful number, since it uses less digits than its factorization.

1828493536896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21209 (or 21178 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 1828493536896 in words is "one trillion, eight hundred twenty-eight billion, four hundred ninety-three million, five hundred thirty-six thousand, eight hundred ninety-six".