46742333324764 has 96 divisors (see below), whose sum is σ = 103424135592960. Its totient is φ = 17954023987200.

The previous prime is 46742333324657. The next prime is 46742333324777.

46742333324764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46742333324699 and 46742333324708.

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, 964988754 + ... + 965037190.

It is an arithmetic number, because the mean of its divisors is an integer number (1077334745760).

Almost surely, 2^{46742333324764} is an apocalyptic number.

46742333324764 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 46742333324764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51712067796480).

46742333324764 is an abundant number, since it is smaller than the sum of its proper divisors (56681802268196).

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

46742333324764 is a wasteful number, since it uses less digits than its factorization.

46742333324764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92659 (or 92657 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 58.

It can be divided in two parts, 4674233 and 3324764, that added together give a palindrome (7998997).

The spelling of 46742333324764 in words is "forty-six trillion, seven hundred forty-two billion, three hundred thirty-three million, three hundred twenty-four thousand, seven hundred sixty-four".