2245012011648 has 768 divisors, whose sum is σ = 7885473120000. Its totient is φ = 615599308800.

The previous prime is 2245012011637. The next prime is 2245012011667. The reversal of 2245012011648 is 8461102105422.

2245012011648 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 0 + 1 + 2 + 0 + 1 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5000026528 + ... + 5000026976.

It is an arithmetic number, because the mean of its divisors is an integer number (10267543125).

Almost surely, 2^{2245012011648} is an apocalyptic number.

2245012011648 is a gapful number since it is divisible by the number (28) 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 2245012011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942736560000).

2245012011648 is an abundant number, since it is smaller than the sum of its proper divisors (5640461108352).

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

2245012011648 is an equidigital number, since it uses as much as digits as its factorization.

2245012011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2245012011648 in words is "two trillion, two hundred forty-five billion, twelve million, eleven thousand, six hundred forty-eight".