46626986041344 has 672 divisors, whose sum is σ = 139881322211904. Its totient is φ = 14955718901760.

The previous prime is 46626986041313. The next prime is 46626986041357. The reversal of 46626986041344 is 44314068962664.

It is a happy number.

46626986041344 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 6 + 9 + 8 + 604 + 13 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85241290479 + ... + 85241291025.

It is an arithmetic number, because the mean of its divisors is an integer number (208156729482).

Almost surely, 2^{46626986041344} 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 46626986041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69940661105952).

46626986041344 is an abundant number, since it is smaller than the sum of its proper divisors (93254336170560).

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

46626986041344 is a wasteful number, since it uses less digits than its factorization.

46626986041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 46626986041344 in words is "forty-six trillion, six hundred twenty-six billion, nine hundred eighty-six million, forty-one thousand, three hundred forty-four".