45479250499140 has 144 divisors (see below), whose sum is σ = 138437940107376. Its totient is φ = 12085239936000.

The previous prime is 45479250499121. The next prime is 45479250499159. The reversal of 45479250499140 is 4199405297454.

45479250499140 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 92 + 50 + 499 + 1 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45479250499121) and next prime (45479250499159).

It can be written as a sum of positive squares in 8 ways, for example, as 13351847544324 + 32127402954816 = 3654018^2 + 5668104^2 .

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, 638171110 + ... + 638242370.

It is an arithmetic number, because the mean of its divisors is an integer number (961374584079).

Almost surely, 2^{45479250499140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45479250499140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69218970053688).

45479250499140 is an abundant number, since it is smaller than the sum of its proper divisors (92958689608236).

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

45479250499140 is a wasteful number, since it uses less digits than its factorization.

45479250499140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83670 (or 83665 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 45479250499140 in words is "forty-five trillion, four hundred seventy-nine billion, two hundred fifty million, four hundred ninety-nine thousand, one hundred forty".