46086455468064 has 192 divisors, whose sum is σ = 132112770491520. Its totient is φ = 13951005696000.

The previous prime is 46086455468059. The next prime is 46086455468069.

It is a happy number.

46086455468064 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46086455468059) and next prime (46086455468069).

It is a super-2 number, since 2×46086455468064² (a number of 28 digits) contains 22 as substring.

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 = 46086455467986 and 46086455468004.

It is not an unprimeable number, because it can be changed into a prime (46086455468069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7852519722 + ... + 7852525590.

It is an arithmetic number, because the mean of its divisors is an integer number (688087346310).

Almost surely, 2^{46086455468064} is an apocalyptic number.

46086455468064 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 46086455468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66056385245760).

46086455468064 is an abundant number, since it is smaller than the sum of its proper divisors (86026315023456).

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

46086455468064 is a wasteful number, since it uses less digits than its factorization.

46086455468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12395 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 66.

The spelling of 46086455468064 in words is "forty-six trillion, eighty-six billion, four hundred fifty-five million, four hundred sixty-eight thousand, sixty-four".