46042655624064 has 256 divisors, whose sum is σ = 148286655072000. Its totient is φ = 13948248729600.

The previous prime is 46042655624047. The next prime is 46042655624071.

46042655624064 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 2 + 6 + 5 + 5 + 624 + 0 + 6 + 4 = 666.

46042655624064 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46042655624064² (a number of 28 digits) contains 22 as substring.

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 46042655624064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131398407 + ... + 131748345.

It is an arithmetic number, because the mean of its divisors is an integer number (579244746375).

Almost surely, 2^{46042655624064} is an apocalyptic number.

46042655624064 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 46042655624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74143327536000).

46042655624064 is an abundant number, since it is smaller than the sum of its proper divisors (102243999447936).

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

46042655624064 is a wasteful number, since it uses less digits than its factorization.

46042655624064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353434 (or 353416 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 46042655624064 in words is "forty-six trillion, forty-two billion, six hundred fifty-five million, six hundred twenty-four thousand, sixty-four".