46027250144000 has 144 divisors (see below), whose sum is σ = 115484534124960. Its totient is φ = 18278445772800.

The previous prime is 46027250143997. The next prime is 46027250144027. The reversal of 46027250144000 is 44105272064.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725927 + ... + 9621926.

Almost surely, 2^{46027250144000} is an apocalyptic number.

46027250144000 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 46027250144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57742267062480).

46027250144000 is an abundant number, since it is smaller than the sum of its proper divisors (69457283980960).

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

46027250144000 is a wasteful number, since it uses less digits than its factorization.

46027250144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348023 (or 10347999 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 46027250144000 in words is "forty-six trillion, twenty-seven billion, two hundred fifty million, one hundred forty-four thousand".