46025448672000 has 1152 divisors, whose sum is σ = 185301267959808. Its totient is φ = 9897541632000.

The previous prime is 46025448671957. The next prime is 46025448672013. The reversal of 46025448672000 is 27684452064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 942791592 + ... + 942840408.

It is an arithmetic number, because the mean of its divisors is an integer number (160851795104).

Almost surely, 2^{46025448672000} is an apocalyptic number.

46025448672000 is a gapful number since it is divisible by the number (40) 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 46025448672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92650633979904).

46025448672000 is an abundant number, since it is smaller than the sum of its proper divisors (139275819287808).

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

46025448672000 is a wasteful number, since it uses less digits than its factorization.

46025448672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48942 (or 48918 counting only the distinct ones).

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

The spelling of 46025448672000 in words is "forty-six trillion, twenty-five billion, four hundred forty-eight million, six hundred seventy-two thousand".