1801963114560 has 1008 divisors, whose sum is σ = 7337057524992. Its totient is φ = 404683776000.

The previous prime is 1801963114543. The next prime is 1801963114577. The reversal of 1801963114560 is 654113691081.

1801963114560 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 631 + 1 + 4 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1801963114543) and next prime (1801963114577).

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 143 ways as a sum of consecutive naturals, for example, 2194838950 + ... + 2194839770.

Almost surely, 2^{1801963114560} is an apocalyptic number.

1801963114560 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 1801963114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668528762496).

1801963114560 is an abundant number, since it is smaller than the sum of its proper divisors (5535094410432).

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

1801963114560 is a wasteful number, since it uses less digits than its factorization.

1801963114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1801963114560 in words is "one trillion, eight hundred one billion, nine hundred sixty-three million, one hundred fourteen thousand, five hundred sixty".