46201255210264 has 32 divisors (see below), whose sum is σ = 108002934259200. Its totient is φ = 18000489042720.

The previous prime is 46201255210261. The next prime is 46201255210277.

46201255210264 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46201255210261) by changing a digit.

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, 37501018224 + ... + 37501019455.

It is an arithmetic number, because the mean of its divisors is an integer number (3375091695600).

Almost surely, 2^{46201255210264} is an apocalyptic number.

46201255210264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46201255210264 is an abundant number, since it is smaller than the sum of its proper divisors (61801679048936).

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

46201255210264 is a wasteful number, since it uses less digits than its factorization.

46201255210264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75002037703 (or 75002037699 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

It can be divided in two parts, 4620125 and 5210264, that added together give a palindrome (9830389).

The spelling of 46201255210264 in words is "forty-six trillion, two hundred one billion, two hundred fifty-five million, two hundred ten thousand, two hundred sixty-four".