46441253278002 has 96 divisors (see below), whose sum is σ = 102497218854912. Its totient is φ = 14017603644000.

The previous prime is 46441253277971. The next prime is 46441253278003. The reversal of 46441253278002 is 20087235214464.

46441253278002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46441253278002² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46441253278003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 261123727 + ... + 261301517.

It is an arithmetic number, because the mean of its divisors is an integer number (1067679363072).

Almost surely, 2^{46441253278002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46441253278002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51248609427456).

46441253278002 is an abundant number, since it is smaller than the sum of its proper divisors (56055965576910).

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

46441253278002 is a wasteful number, since it uses less digits than its factorization.

46441253278002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179236 (or 179225 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 46441253278002 in words is "forty-six trillion, four hundred forty-one billion, two hundred fifty-three million, two hundred seventy-eight thousand, two".