15166146645000 has 640 divisors, whose sum is σ = 56920392144000. Its totient is φ = 3718224000000.

The previous prime is 15166146644983. The next prime is 15166146645011. The reversal of 15166146645000 is 54664166151.

15166146645000 is a `hidden beast` number, since 1 + 51 + 6 + 6 + 146 + 6 + 450 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 440487786 + ... + 440522214.

It is an arithmetic number, because the mean of its divisors is an integer number (88938112725).

Almost surely, 2^{15166146645000} is an apocalyptic number.

15166146645000 is a gapful number since it is divisible by the number (10) 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 15166146645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28460196072000).

15166146645000 is an abundant number, since it is smaller than the sum of its proper divisors (41754245499000).

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

15166146645000 is a wasteful number, since it uses less digits than its factorization.

15166146645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34728 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 15166146645000 in words is "fifteen trillion, one hundred sixty-six billion, one hundred forty-six million, six hundred forty-five thousand".