46483355338464 has 192 divisors, whose sum is σ = 137743117505280. Its totient is φ = 13596033024000.

The previous prime is 46483355338367. The next prime is 46483355338499.

46483355338464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46483355338395 and 46483355338404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101780704 + ... + 102236384.

It is an arithmetic number, because the mean of its divisors is an integer number (717412070340).

Almost surely, 2^{46483355338464} is an apocalyptic number.

46483355338464 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 46483355338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68871558752640).

46483355338464 is an abundant number, since it is smaller than the sum of its proper divisors (91259762166816).

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

46483355338464 is a wasteful number, since it uses less digits than its factorization.

46483355338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459065 (or 459057 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 66.

The spelling of 46483355338464 in words is "forty-six trillion, four hundred eighty-three billion, three hundred fifty-five million, three hundred thirty-eight thousand, four hundred sixty-four".