1022142578688 has 1152 divisors, whose sum is σ = 3929880084480. Its totient is φ = 256927334400.

The previous prime is 1022142578669. The next prime is 1022142578729. The reversal of 1022142578688 is 8868752412201.

1022142578688 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 4 + 2 + 578 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×1022142578688⁴ (a number of 49 digits) contains 4444 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32972341233 + ... + 32972341263.

It is an arithmetic number, because the mean of its divisors is an integer number (3411354240).

Almost surely, 2^{1022142578688} is an apocalyptic number.

1022142578688 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 1022142578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964940042240).

1022142578688 is an abundant number, since it is smaller than the sum of its proper divisors (2907737505792).

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

1022142578688 is an frugal number, since it uses more digits than its factorization.

1022142578688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1022142578688 in words is "one trillion, twenty-two billion, one hundred forty-two million, five hundred seventy-eight thousand, six hundred eighty-eight".