46253244235264 has 160 divisors (see below), whose sum is σ = 101250100828800. Its totient is φ = 20934103818240.

The previous prime is 46253244235249. The next prime is 46253244235273.

46253244235264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46253244235264² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2998193119 + ... + 2998208545.

It is an arithmetic number, because the mean of its divisors is an integer number (632813130180).

Almost surely, 2^{46253244235264} is an apocalyptic number.

46253244235264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46253244235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50625050414400).

46253244235264 is an abundant number, since it is smaller than the sum of its proper divisors (54996856593536).

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

46253244235264 is a wasteful number, since it uses less digits than its factorization.

46253244235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17704 (or 17688 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 46253244235264 in words is "forty-six trillion, two hundred fifty-three billion, two hundred forty-four million, two hundred thirty-five thousand, two hundred sixty-four".