10081456977 has 16 divisors (see below), whose sum is σ = 14344722432. Its totient is φ = 6275808000.

The previous prime is 10081456967. The next prime is 10081456993. The reversal of 10081456977 is 77965418001.

10081456977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10081456977 - 2⁷ = 10081456849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10081456967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771774 + ... + 784727.

It is an arithmetic number, because the mean of its divisors is an integer number (896545152).

Almost surely, 2^10081456977 is an apocalyptic number.

10081456977 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10081456977 is a deficient number, since it is larger than the sum of its proper divisors (4263265455).

10081456977 is a wasteful number, since it uses less digits than its factorization.

10081456977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556648.

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 10081456977 in words is "ten billion, eighty-one million, four hundred fifty-six thousand, nine hundred seventy-seven".