46053855835064 has 128 divisors (see below), whose sum is σ = 112114682081280. Its totient is φ = 17210585548800.

The previous prime is 46053855835027. The next prime is 46053855835069.

46053855835064 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 46053855834988 and 46053855835006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46053855835069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8513399 + ... + 12829094.

It is an arithmetic number, because the mean of its divisors is an integer number (875895953760).

Almost surely, 2^{46053855835064} is an apocalyptic number.

46053855835064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46053855835064 is an abundant number, since it is smaller than the sum of its proper divisors (66060826246216).

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

46053855835064 is a wasteful number, since it uses less digits than its factorization.

46053855835064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342661 (or 21342657 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 62.

The spelling of 46053855835064 in words is "forty-six trillion, fifty-three billion, eight hundred fifty-five million, eight hundred thirty-five thousand, sixty-four".