1023228801504 has 576 divisors, whose sum is σ = 3719607091200. Its totient is φ = 259515518976.

The previous prime is 1023228801499. The next prime is 1023228801541. The reversal of 1023228801504 is 4051088223201.

It is a happy number.

1023228801504 is a `hidden beast` number, since 102 + 322 + 8 + 80 + 150 + 4 = 666.

1023228801504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199885857 + ... + 199890975.

It is an arithmetic number, because the mean of its divisors is an integer number (6457651200).

Almost surely, 2^{1023228801504} is an apocalyptic number.

1023228801504 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 1023228801504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859803545600).

1023228801504 is an abundant number, since it is smaller than the sum of its proper divisors (2696378289696).

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

1023228801504 is a wasteful number, since it uses less digits than its factorization.

1023228801504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1023228801504 in words is "one trillion, twenty-three billion, two hundred twenty-eight million, eight hundred one thousand, five hundred four".