1225517664 has 48 divisors (see below), whose sum is σ = 3676555008. Its totient is φ = 350147712.

The previous prime is 1225517653. The next prime is 1225517729. The reversal of 1225517664 is 4667155221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 911172 + ... + 912515.

It is an arithmetic number, because the mean of its divisors is an integer number (76594896).

Almost surely, 2^1225517664 is an apocalyptic number.

1225517664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1225517664 is an abundant number, since it is smaller than the sum of its proper divisors (2451037344).

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

1225517664 is a wasteful number, since it uses less digits than its factorization.

1225517664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823707 (or 1823699 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 1225517664 is about 35007.3944188938. The cubic root of 1225517664 is about 1070.1381787951.

The spelling of 1225517664 in words is "one billion, two hundred twenty-five million, five hundred seventeen thousand, six hundred sixty-four".