66214031354928 has 160 divisors (see below), whose sum is σ = 192856634956800. Its totient is φ = 21747571372800.

The previous prime is 66214031354923. The next prime is 66214031354953. The reversal of 66214031354928 is 82945313041266.

It is a happy number.

66214031354928 is a `hidden beast` number, since 6 + 6 + 2 + 1 + 40 + 31 + 3 + 549 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66214031354923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14781118 + ... + 18732578.

It is an arithmetic number, because the mean of its divisors is an integer number (1205353968480).

Almost surely, 2^{66214031354928} 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 66214031354928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96428317478400).

66214031354928 is an abundant number, since it is smaller than the sum of its proper divisors (126642603601872).

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

66214031354928 is a wasteful number, since it uses less digits than its factorization.

66214031354928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952048 (or 3952036 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 66214031354928 in words is "sixty-six trillion, two hundred fourteen billion, thirty-one million, three hundred fifty-four thousand, nine hundred twenty-eight".