46415266251464 has 64 divisors (see below), whose sum is σ = 95513346720000. Its totient is φ = 20970613721920.

The previous prime is 46415266251457. The next prime is 46415266251509.

46415266251464 is nontrivially palindromic in base 10.

46415266251464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 34674887 + ... + 35988585.

It is an arithmetic number, because the mean of its divisors is an integer number (1492396042500).

Almost surely, 2^{46415266251464} is an apocalyptic number.

46415266251464 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 46415266251464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47756673360000).

46415266251464 is an abundant number, since it is smaller than the sum of its proper divisors (49098080468536).

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

46415266251464 is a wasteful number, since it uses less digits than its factorization.

46415266251464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316138 (or 1316134 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 56.

The spelling of 46415266251464 in words is "forty-six trillion, four hundred fifteen billion, two hundred sixty-six million, two hundred fifty-one thousand, four hundred sixty-four".