10146021516612 has 18 divisors (see below), whose sum is σ = 25646887722638. Its totient is φ = 3382007172192.

The previous prime is 10146021516469. The next prime is 10146021516613. The reversal of 10146021516612 is 21661512064101.

10146021516612 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 0 + 21 + 5 + 16 + 612 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9026623660356 + 1119397856256 = 3004434^2 + 1058016^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×10146021516612³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 281833931017 = 10146021516612 / (1 + 0 + 1 + 4 + 6 + 0 + 2 + 1 + 5 + 1 + 6 + 6 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (10146021516613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140916965473 + ... + 140916965544.

Almost surely, 2^{10146021516612} is an apocalyptic number.

10146021516612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10146021516612 is an abundant number, since it is smaller than the sum of its proper divisors (15500866206026).

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

10146021516612 is a wasteful number, since it uses less digits than its factorization.

10146021516612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281833931027 (or 281833931022 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10146021516612 in words is "ten trillion, one hundred forty-six billion, twenty-one million, five hundred sixteen thousand, six hundred twelve".