1003877946081 has 24 divisors (see below), whose sum is σ = 1497691044096. Its totient is φ = 647286988320.

The previous prime is 1003877946059. The next prime is 1003877946089. The reversal of 1003877946081 is 1806497783001.

1003877946081 is a `hidden beast` number, since 1 + 0 + 0 + 38 + 7 + 79 + 460 + 81 = 666.

It is not a de Polignac number, because 1003877946081 - 2²¹ = 1003875848929 is a prime.

It is a super-2 number, since 2×1003877946081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003877946089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563430 + ... + 1524863.

It is an arithmetic number, because the mean of its divisors is an integer number (62403793504).

Almost surely, 2^{1003877946081} is an apocalyptic number.

It is an amenable number.

1003877946081 is a deficient number, since it is larger than the sum of its proper divisors (493813098015).

1003877946081 is a wasteful number, since it uses less digits than its factorization.

1003877946081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090053 (or 2090050 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1003877946081 in words is "one trillion, three billion, eight hundred seventy-seven million, nine hundred forty-six thousand, eighty-one".