46429068456576 has 384 divisors, whose sum is σ = 148675648343040. Its totient is φ = 13810832916480.

The previous prime is 46429068456571. The next prime is 46429068456581. The reversal of 46429068456576 is 67565486092464.

It is a happy number.

46429068456576 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 9 + 0 + 6 + 8 + 45 + 6 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (46429068456571) and next prime (46429068456581).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (46429068456571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456312780 + ... + 456414516.

It is an arithmetic number, because the mean of its divisors is an integer number (387176167560).

Almost surely, 2^{46429068456576} 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 46429068456576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74337824171520).

46429068456576 is an abundant number, since it is smaller than the sum of its proper divisors (102246579886464).

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

46429068456576 is a wasteful number, since it uses less digits than its factorization.

46429068456576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102784 (or 102769 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 46429068456576 in words is "forty-six trillion, four hundred twenty-nine billion, sixty-eight million, four hundred fifty-six thousand, five hundred seventy-six".