10033774001000 has 32 divisors (see below), whose sum is σ = 23479031164680. Its totient is φ = 4013509600000.

The previous prime is 10033774000979. The next prime is 10033774001089. The reversal of 10033774001000 is 10047733001.

It can be written as a sum of positive squares in 4 ways, for example, as 3994457920996 + 6039316080004 = 1998614^2 + 2457502^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5016886001 + ... + 5016888000.

Almost surely, 2^{10033774001000} is an apocalyptic number.

10033774001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033774001000 is an abundant number, since it is smaller than the sum of its proper divisors (13445257163680).

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

10033774001000 is a wasteful number, since it uses less digits than its factorization.

10033774001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033774022 (or 10033774008 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 10033774001000 in words is "ten trillion, thirty-three billion, seven hundred seventy-four million, one thousand".