46089591045120 has 528 divisors, whose sum is σ = 190536004248480. Its totient is φ = 10534762119168.

The previous prime is 46089591045109. The next prime is 46089591045143. The reversal of 46089591045120 is 2154019598064.

46089591045120 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 9 + 591 + 0 + 45 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3371692 + ... + 10175828.

It is an arithmetic number, because the mean of its divisors is an integer number (360863644410).

Almost surely, 2^{46089591045120} is an apocalyptic number.

46089591045120 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 46089591045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95268002124240).

46089591045120 is an abundant number, since it is smaller than the sum of its proper divisors (144446413203360).

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

46089591045120 is a wasteful number, since it uses less digits than its factorization.

46089591045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6804185 (or 6804154 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 46089591045120 in words is "forty-six trillion, eighty-nine billion, five hundred ninety-one million, forty-five thousand, one hundred twenty".