45312646354560 has 512 divisors, whose sum is σ = 172936669651200. Its totient is φ = 11146809655296.

The previous prime is 45312646354559. The next prime is 45312646354579. The reversal of 45312646354560 is 6545364621354.

45312646354560 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 2 + 6 + 46 + 35 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45312646354497 and 45312646354506.

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 63 ways as a sum of consecutive naturals, for example, 358686927 + ... + 358813233.

Almost surely, 2^{45312646354560} is an apocalyptic number.

45312646354560 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 45312646354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86468334825600).

45312646354560 is an abundant number, since it is smaller than the sum of its proper divisors (127624023296640).

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

45312646354560 is a wasteful number, since it uses less digits than its factorization.

45312646354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127945 (or 127927 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 45312646354560 in words is "forty-five trillion, three hundred twelve billion, six hundred forty-six million, three hundred fifty-four thousand, five hundred sixty".