1026228053664 has 180 divisors, whose sum is σ = 3317425729002. Its totient is φ = 310978103040.

The previous prime is 1026228053657. The next prime is 1026228053701. The reversal of 1026228053664 is 4663508226201.

1026228053664 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 280 + 5 + 366 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1023698768400 + 2529285264 = 1011780^2 + 50292^2 .

It is a super-3 number, since 3×1026228053664³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1322407 + ... + 1949670.

Almost surely, 2^{1026228053664} is an apocalyptic number.

It is an amenable number.

1026228053664 is an abundant number, since it is smaller than the sum of its proper divisors (2291197675338).

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

1026228053664 is a wasteful number, since it uses less digits than its factorization.

1026228053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272121 (or 3272093 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1026228053664 in words is "one trillion, twenty-six billion, two hundred twenty-eight million, fifty-three thousand, six hundred sixty-four".