10214748466560 has 2304 divisors, whose sum is σ = 42293752300800. Its totient is φ = 2336413040640.

The previous prime is 10214748466543. The next prime is 10214748466583. The reversal of 10214748466560 is 6566484741201.

10214748466560 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 74 + 8 + 4 + 6 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10214748466497 and 10214748466506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73487398971 + ... + 73487399109.

It is an arithmetic number, because the mean of its divisors is an integer number (18356663325).

Almost surely, 2^{10214748466560} is an apocalyptic number.

10214748466560 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 10214748466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146876150400).

10214748466560 is an abundant number, since it is smaller than the sum of its proper divisors (32079003834240).

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

10214748466560 is an equidigital number, since it uses as much as digits as its factorization.

10214748466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10214748466560 in words is "ten trillion, two hundred fourteen billion, seven hundred forty-eight million, four hundred sixty-six thousand, five hundred sixty".