10214591551632 has 240 divisors, whose sum is σ = 32606585009280. Its totient is φ = 3058005809664.

The previous prime is 10214591551601. The next prime is 10214591551679. The reversal of 10214591551632 is 23615519541201.

10214591551632 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 5 + 9 + 1 + 5 + 5 + 1 + 632 = 666.

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 47 ways as a sum of consecutive naturals, for example, 810613 + ... + 4591979.

It is an arithmetic number, because the mean of its divisors is an integer number (135860770872).

Almost surely, 2^{10214591551632} is an apocalyptic number.

10214591551632 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 10214591551632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303292504640).

10214591551632 is an abundant number, since it is smaller than the sum of its proper divisors (22391993457648).

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

10214591551632 is a wasteful number, since it uses less digits than its factorization.

10214591551632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781447 (or 3781422 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 10214591551632 in words is "ten trillion, two hundred fourteen billion, five hundred ninety-one million, five hundred fifty-one thousand, six hundred thirty-two".