1826133525216 has 1920 divisors, whose sum is σ = 7648084426752. Its totient is φ = 411941376000.

The previous prime is 1826133525173. The next prime is 1826133525221. The reversal of 1826133525216 is 6125253316281.

It is a happy number.

1826133525216 is a `hidden beast` number, since 1 + 8 + 2 + 61 + 335 + 252 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4236968521 + ... + 4236968951.

Almost surely, 2^{1826133525216} is an apocalyptic number.

1826133525216 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 1826133525216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824042213376).

1826133525216 is an abundant number, since it is smaller than the sum of its proper divisors (5821950901536).

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

1826133525216 is a wasteful number, since it uses less digits than its factorization.

1826133525216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 1826133525216 in words is "one trillion, eight hundred twenty-six billion, one hundred thirty-three million, five hundred twenty-five thousand, two hundred sixteen".