46463299236464 has 160 divisors (see below), whose sum is σ = 100071195033600. Its totient is φ = 20723187179520.

The previous prime is 46463299236391. The next prime is 46463299236467.

46463299236464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46463299236464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46463299236394 and 46463299236403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46463299236467) 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 31 ways as a sum of consecutive naturals, for example, 934342769 + ... + 934392495.

It is an arithmetic number, because the mean of its divisors is an integer number (625444968960).

Almost surely, 2^{46463299236464} is an apocalyptic number.

46463299236464 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 46463299236464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50035597516800).

46463299236464 is an abundant number, since it is smaller than the sum of its proper divisors (53607895797136).

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

46463299236464 is a wasteful number, since it uses less digits than its factorization.

46463299236464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50311 (or 50305 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 68.

The spelling of 46463299236464 in words is "forty-six trillion, four hundred sixty-three billion, two hundred ninety-nine million, two hundred thirty-six thousand, four hundred sixty-four".