1020146206464 has 1728 divisors, whose sum is σ = 4039043420160. Its totient is φ = 252912844800.

The previous prime is 1020146206463. The next prime is 1020146206487. The reversal of 1020146206464 is 4646026410201.

1020146206464 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 4 + 6 + 2 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020146206463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13974605532 + ... + 13974605604.

Almost surely, 2^{1020146206464} is an apocalyptic number.

1020146206464 is a gapful number since it is divisible by the number (14) 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 1020146206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019521710080).

1020146206464 is an abundant number, since it is smaller than the sum of its proper divisors (3018897213696).

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

1020146206464 is an equidigital number, since it uses as much as digits as its factorization.

1020146206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1020146206464 in words is "one trillion, twenty billion, one hundred forty-six million, two hundred six thousand, four hundred sixty-four".