1826232145920 has 1152 divisors, whose sum is σ = 7902315832320. Its totient is φ = 379764080640.

The previous prime is 1826232145919. The next prime is 1826232145931. The reversal of 1826232145920 is 295412326281.

1826232145920 is a `hidden beast` number, since 1 + 8 + 2 + 623 + 2 + 14 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595444227 + ... + 595447293.

It is an arithmetic number, because the mean of its divisors is an integer number (6859649160).

Almost surely, 2^{1826232145920} is an apocalyptic number.

1826232145920 is a gapful number since it is divisible by the number (10) 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 1826232145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951157916160).

1826232145920 is an abundant number, since it is smaller than the sum of its proper divisors (6076083686400).

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

1826232145920 is a wasteful number, since it uses less digits than its factorization.

1826232145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1826232145920 in words is "one trillion, eight hundred twenty-six billion, two hundred thirty-two million, one hundred forty-five thousand, nine hundred twenty".