1023675734256 has 160 divisors (see below), whose sum is σ = 3181931343360. Its totient is φ = 277034370048.

The previous prime is 1023675734227. The next prime is 1023675734261. The reversal of 1023675734256 is 6524375763201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1023675734199 and 1023675734208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46189930 + ... + 46212086.

It is an arithmetic number, because the mean of its divisors is an integer number (19887070896).

Almost surely, 2^{1023675734256} is an apocalyptic number.

1023675734256 is a gapful number since it is divisible by the number (16) 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 1023675734256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590965671680).

1023675734256 is an abundant number, since it is smaller than the sum of its proper divisors (2158255609104).

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

1023675734256 is a wasteful number, since it uses less digits than its factorization.

1023675734256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29431 (or 29425 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 51.

The spelling of 1023675734256 in words is "one trillion, twenty-three billion, six hundred seventy-five million, seven hundred thirty-four thousand, two hundred fifty-six".