1814964501132 has 288 divisors, whose sum is σ = 5096713789440. Its totient is φ = 542344896000.

The previous prime is 1814964501029. The next prime is 1814964501139. The reversal of 1814964501132 is 2311054694181.

1814964501132 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 9 + 6 + 4 + 501 + 132 = 666.

It is a super-2 number, since 2×1814964501132² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1814964501139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223761757 + ... + 223769867.

It is an arithmetic number, because the mean of its divisors is an integer number (17696922880).

Almost surely, 2^{1814964501132} is an apocalyptic number.

1814964501132 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 1814964501132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548356894720).

1814964501132 is an abundant number, since it is smaller than the sum of its proper divisors (3281749288308).

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

1814964501132 is a wasteful number, since it uses less digits than its factorization.

1814964501132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1814964501132 in words is "one trillion, eight hundred fourteen billion, nine hundred sixty-four million, five hundred one thousand, one hundred thirty-two".