10146983461812 has 72 divisors (see below), whose sum is σ = 26999834621760. Its totient is φ = 3204245157120.

The previous prime is 10146983461799. The next prime is 10146983461817. The reversal of 10146983461812 is 21816438964101.

10146983461812 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 9 + 8 + 3 + 4 + 618 + 12 = 666.

It is a super-2 number, since 2×10146983461812² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146983461817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41920012 + ... + 42161372.

It is an arithmetic number, because the mean of its divisors is an integer number (374997703080).

Almost surely, 2^{10146983461812} is an apocalyptic number.

10146983461812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10146983461812 is an abundant number, since it is smaller than the sum of its proper divisors (16852851159948).

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

10146983461812 is a wasteful number, since it uses less digits than its factorization.

10146983461812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302853 (or 302848 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10146983461812 in words is "ten trillion, one hundred forty-six billion, nine hundred eighty-three million, four hundred sixty-one thousand, eight hundred twelve".