1023755428864 has 99 divisors (see below), whose sum is σ = 2381162512953. Its totient is φ = 438655193088.

The previous prime is 1023755428859. The next prime is 1023755428879. The reversal of 1023755428864 is 4688245573201.

It is a happy number.

The square root of 1023755428864 is 1011808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4075545600 + 1019679883264 = 63840^2 + 1009792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 226642734 + ... + 226647250.

Almost surely, 2^{1023755428864} is an apocalyptic number.

1023755428864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1023755428864 is the 1011808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023755428864

1023755428864 is an abundant number, since it is smaller than the sum of its proper divisors (1357407084089).

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

1023755428864 is an frugal number, since it uses more digits than its factorization.

1023755428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 1023755428864 in words is "one trillion, twenty-three billion, seven hundred fifty-five million, four hundred twenty-eight thousand, eight hundred sixty-four".