46449042641064 has 384 divisors, whose sum is σ = 152304443596800. Its totient is φ = 13075637016960.

The previous prime is 46449042641051. The next prime is 46449042641077. The reversal of 46449042641064 is 46014624094464.

46449042641064 is a `hidden beast` number, since 4 + 6 + 4 + 490 + 42 + 6 + 4 + 106 + 4 = 666.

46449042641064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46449042641051) and next prime (46449042641077).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46449042641064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1189547989 + ... + 1189587035.

It is an arithmetic number, because the mean of its divisors is an integer number (396626155200).

Almost surely, 2^{46449042641064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46449042641064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76152221798400).

46449042641064 is an abundant number, since it is smaller than the sum of its proper divisors (105855400955736).

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

46449042641064 is a wasteful number, since it uses less digits than its factorization.

46449042641064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40730 (or 40713 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 46449042641064 in words is "forty-six trillion, four hundred forty-nine billion, forty-two million, six hundred forty-one thousand, sixty-four".