10182461066496 has 288 divisors, whose sum is σ = 31094400691200. Its totient is φ = 3283424501760.

The previous prime is 10182461066483. The next prime is 10182461066497. The reversal of 10182461066496 is 69466016428101.

10182461066496 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 2 + 46 + 106 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10182461066497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691876930 + ... + 691891646.

Almost surely, 2^{10182461066496} is an apocalyptic number.

10182461066496 is a gapful number since it is divisible by the number (16) 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 10182461066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547200345600).

10182461066496 is an abundant number, since it is smaller than the sum of its proper divisors (20911939624704).

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

10182461066496 is a wasteful number, since it uses less digits than its factorization.

10182461066496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10182461066496 in words is "ten trillion, one hundred eighty-two billion, four hundred sixty-one million, sixty-six thousand, four hundred ninety-six".