1023678532900 has 243 divisors, whose sum is σ = 2395663843699. Its totient is φ = 379648480640.

The previous prime is 1023678532897. The next prime is 1023678532901. The reversal of 1023678532900 is 92358763201.

The square root of 1023678532900 is 1011770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7711298596 + 1015967234304 = 87814^2 + 1007952^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023678532901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12333476259 + ... + 12333476341.

Almost surely, 2^{1023678532900} is an apocalyptic number.

1023678532900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023678532900 is the 1011770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023678532900

1023678532900 is an abundant number, since it is smaller than the sum of its proper divisors (1371985310799).

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

1023678532900 is an equidigital number, since it uses as much as digits as its factorization.

1023678532900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 1023678532900 in words is "one trillion, twenty-three billion, six hundred seventy-eight million, five hundred thirty-two thousand, nine hundred".