1966953241512 has 288 divisors, whose sum is σ = 6447450129120. Its totient is φ = 560147736960.

The previous prime is 1966953241441. The next prime is 1966953241549. The reversal of 1966953241512 is 2151423596691.

It is a happy number.

1966953241512 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 95 + 32 + 4 + 1 + 512 = 666.

It is a super-2 number, since 2×1966953241512² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29209962 + ... + 29277222.

It is an arithmetic number, because the mean of its divisors is an integer number (22386979615).

Almost surely, 2^{1966953241512} is an apocalyptic number.

1966953241512 is a gapful number since it is divisible by the number (12) 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 1966953241512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223725064560).

1966953241512 is an abundant number, since it is smaller than the sum of its proper divisors (4480496887608).

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

1966953241512 is a wasteful number, since it uses less digits than its factorization.

1966953241512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67603 (or 67580 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 1966953241512 in words is "one trillion, nine hundred sixty-six billion, nine hundred fifty-three million, two hundred forty-one thousand, five hundred twelve".