1021164962688 has 960 divisors, whose sum is σ = 3570740046720. Its totient is φ = 287639838720.

The previous prime is 1021164962663. The next prime is 1021164962761. The reversal of 1021164962688 is 8862694611201.

1021164962688 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 6 + 4 + 9 + 626 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1508367406 + ... + 1508368082.

It is an arithmetic number, because the mean of its divisors is an integer number (3719520882).

Almost surely, 2^{1021164962688} is an apocalyptic number.

1021164962688 is a gapful number since it is divisible by the number (18) 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 1021164962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785370023360).

1021164962688 is an abundant number, since it is smaller than the sum of its proper divisors (2549575084032).

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

1021164962688 is a wasteful number, since it uses less digits than its factorization.

1021164962688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1021164962688 in words is "one trillion, twenty-one billion, one hundred sixty-four million, nine hundred sixty-two thousand, six hundred eighty-eight".