46901000010964 has 24 divisors (see below), whose sum is σ = 89538480612000. Its totient is φ = 21318586877280.

The previous prime is 46901000010919. The next prime is 46901000011057.

46901000010964 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23478862 + ... + 25398010.

It is an arithmetic number, because the mean of its divisors is an integer number (3730770025500).

Almost surely, 2^{46901000010964} is an apocalyptic number.

46901000010964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46901000010964 is a deficient number, since it is larger than the sum of its proper divisors (42637480601036).

46901000010964 is a wasteful number, since it uses less digits than its factorization.

46901000010964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474583 (or 2474581 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

It can be divided in two parts, 469010000 and 10964, that added together give a palindrome (469020964).

The spelling of 46901000010964 in words is "forty-six trillion, nine hundred one billion, ten thousand, nine hundred sixty-four".