46311344311364 has 192 divisors, whose sum is σ = 92872236973824. Its totient is φ = 20022681600000.

The previous prime is 46311344311321. The next prime is 46311344311373.

It is a happy number.

46311344311364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46311344311364² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4348069439 + ... + 4348080089.

It is an arithmetic number, because the mean of its divisors is an integer number (483709567572).

Almost surely, 2^{46311344311364} is an apocalyptic number.

46311344311364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46311344311364 is an abundant number, since it is smaller than the sum of its proper divisors (46560892662460).

46311344311364 is a wasteful number, since it uses less digits than its factorization.

46311344311364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11158 (or 11156 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 4631134 and 4311364, that added together give a palindrome (8942498).

The spelling of 46311344311364 in words is "forty-six trillion, three hundred eleven billion, three hundred forty-four million, three hundred eleven thousand, three hundred sixty-four".