46042377324064 has 144 divisors (see below), whose sum is σ = 104380656319296. Its totient is φ = 19823876236800.

The previous prime is 46042377324049. The next prime is 46042377324091.

46042377324064 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 983640949 + ... + 983687755.

It is an arithmetic number, because the mean of its divisors is an integer number (724865668884).

Almost surely, 2^{46042377324064} is an apocalyptic number.

46042377324064 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 46042377324064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52190328159648).

46042377324064 is an abundant number, since it is smaller than the sum of its proper divisors (58338278995232).

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

46042377324064 is a wasteful number, since it uses less digits than its factorization.

46042377324064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54607 (or 54580 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 52.

The spelling of 46042377324064 in words is "forty-six trillion, forty-two billion, three hundred seventy-seven million, three hundred twenty-four thousand, sixty-four".