66291244411392 has 5120 divisors, whose sum is σ = 292229296128000. Its totient is φ = 14748372172800.

The previous prime is 66291244411369. The next prime is 66291244411423. The reversal of 66291244411392 is 29311444219266.

66291244411392 is a `hidden beast` number, since 6 + 6 + 2 + 9 + 1 + 244 + 4 + 1 + 1 + 392 = 666.

It is a super-2 number, since 2×66291244411392² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 933679498717 + ... + 933679498787.

It is an arithmetic number, because the mean of its divisors is an integer number (57076034400).

Almost surely, 2^{66291244411392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66291244411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146114648064000).

66291244411392 is an abundant number, since it is smaller than the sum of its proper divisors (225938051716608).

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

66291244411392 is an equidigital number, since it uses as much as digits as its factorization.

66291244411392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

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

The spelling of 66291244411392 in words is "sixty-six trillion, two hundred ninety-one billion, two hundred forty-four million, four hundred eleven thousand, three hundred ninety-two".