645015388248000 has 7168 divisors, whose sum is σ = 3148293537792000. Its totient is φ = 129090931200000.

The previous prime is 645015388247977. The next prime is 645015388248037. The reversal of 645015388248000 is 842883510546.

645015388248000 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 1 + 538 + 8 + 24 + 80 + 0 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3056944967895 + ... + 3056944968105.

Almost surely, 2^{645015388248000} is an apocalyptic number.

645015388248000 is a gapful number since it is divisible by the number (60) 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 645015388248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574146768896000).

645015388248000 is an abundant number, since it is smaller than the sum of its proper divisors (2503278149544000).

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

645015388248000 is a wasteful number, since it uses less digits than its factorization.

645015388248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 645015388248000 in words is "six hundred forty-five trillion, fifteen billion, three hundred eighty-eight million, two hundred forty-eight thousand".