1840900465152 has 360 divisors, whose sum is σ = 6543951741756. Its totient is φ = 495031025664.

The previous prime is 1840900465139. The next prime is 1840900465177. The reversal of 1840900465152 is 2515640090481.

1840900465152 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 90 + 0 + 46 + 515 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1415566930176 + 425333534976 = 1189776^2 + 652176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1840900465098 and 1840900465107.

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 35 ways as a sum of consecutive naturals, for example, 3598668 + ... + 4078260.

Almost surely, 2^{1840900465152} is an apocalyptic number.

1840900465152 is a gapful number since it is divisible by the number (12) 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 1840900465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271975870878).

1840900465152 is an abundant number, since it is smaller than the sum of its proper divisors (4703051276604).

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

1840900465152 is a wasteful number, since it uses less digits than its factorization.

1840900465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479648 (or 479622 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1840900465152 in words is "one trillion, eight hundred forty billion, nine hundred million, four hundred sixty-five thousand, one hundred fifty-two".