1466930860416 has 384 divisors, whose sum is σ = 5164368168960. Its totient is φ = 405601136640.

The previous prime is 1466930860411. The next prime is 1466930860471. The reversal of 1466930860416 is 6140680396641.

1466930860416 is a `hidden beast` number, since 1 + 4 + 66 + 93 + 0 + 86 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1466930860416² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1466930860411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6640900 + ... + 6858236.

It is an arithmetic number, because the mean of its divisors is an integer number (13448875440).

Almost surely, 2^{1466930860416} is an apocalyptic number.

1466930860416 is a gapful number since it is divisible by the number (16) 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 1466930860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582184084480).

1466930860416 is an abundant number, since it is smaller than the sum of its proper divisors (3697437308544).

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

1466930860416 is an equidigital number, since it uses as much as digits as its factorization.

1466930860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217404 (or 217380 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1466930860416 in words is "one trillion, four hundred sixty-six billion, nine hundred thirty million, eight hundred sixty thousand, four hundred sixteen".