45246201165000 has 960 divisors, whose sum is σ = 177062923477440. Its totient is φ = 10312611840000.

The previous prime is 45246201164981. The next prime is 45246201165013. The reversal of 45246201165000 is 56110264254.

45246201165000 is a `hidden beast` number, since 4 + 5 + 24 + 620 + 1 + 1 + 6 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10039092747 + ... + 10039097253.

It is an arithmetic number, because the mean of its divisors is an integer number (184440545289).

Almost surely, 2^{45246201165000} is an apocalyptic number.

45246201165000 is a gapful number since it is divisible by the number (40) 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 45246201165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88531461738720).

45246201165000 is an abundant number, since it is smaller than the sum of its proper divisors (131816722312440).

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

45246201165000 is a wasteful number, since it uses less digits than its factorization.

45246201165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45246201165000 in words is "forty-five trillion, two hundred forty-six billion, two hundred one million, one hundred sixty-five thousand".