66021036654144 has 1344 divisors, whose sum is σ = 219197311119360. Its totient is φ = 17284786421760.

The previous prime is 66021036654137. The next prime is 66021036654187. The reversal of 66021036654144 is 44145663012066.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 66021036654093 and 66021036654102.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 187028432272 + ... + 187028432624.

It is an arithmetic number, because the mean of its divisors is an integer number (163093237440).

Almost surely, 2^{66021036654144} is an apocalyptic number.

66021036654144 is a gapful number since it is divisible by the number (64) 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 66021036654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109598655559680).

66021036654144 is an abundant number, since it is smaller than the sum of its proper divisors (153176274465216).

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

66021036654144 is a wasteful number, since it uses less digits than its factorization.

66021036654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 66021036654144 in words is "sixty-six trillion, twenty-one billion, thirty-six million, six hundred fifty-four thousand, one hundred forty-four".