46446210601008 has 80 divisors (see below), whose sum is σ = 120306473226240. Its totient is φ = 15440729317632.

The previous prime is 46446210600991. The next prime is 46446210601009. The reversal of 46446210601008 is 80010601264464.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (46446210601009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354911235 + ... + 355042077.

It is an arithmetic number, because the mean of its divisors is an integer number (1503830915328).

Almost surely, 2^{46446210601008} is an apocalyptic number.

46446210601008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46446210601008 is an abundant number, since it is smaller than the sum of its proper divisors (73860262625232).

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

46446210601008 is a wasteful number, since it uses less digits than its factorization.

46446210601008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150546 (or 150540 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 46446210601008 in words is "forty-six trillion, four hundred forty-six billion, two hundred ten million, six hundred one thousand, eight".