45313263646650 has 384 divisors, whose sum is σ = 131091495321600. Its totient is φ = 11494366560000.

The previous prime is 45313263646649. The next prime is 45313263646697. The reversal of 45313263646650 is 5664636231354.

45313263646650 is a `hidden beast` number, since 4 + 5 + 313 + 263 + 6 + 4 + 6 + 65 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4490458105 + ... + 4490468195.

It is an arithmetic number, because the mean of its divisors is an integer number (341384102400).

Almost surely, 2^{45313263646650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45313263646650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65545747660800).

45313263646650 is an abundant number, since it is smaller than the sum of its proper divisors (85778231674950).

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

45313263646650 is a wasteful number, since it uses less digits than its factorization.

45313263646650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 45313263646650 in words is "forty-five trillion, three hundred thirteen billion, two hundred sixty-three million, six hundred forty-six thousand, six hundred fifty".