648121464 has 288 divisors, whose sum is σ = 2091258000. Its totient is φ = 179988480.

The previous prime is 648121427. The next prime is 648121469. The reversal of 648121464 is 464121846.

It is a happy number.

648121464 is a `hidden beast` number, since 648 + 1 + 2 + 1 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×648121464² = 840122864195006592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648121469) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 20907129 + ... + 20907159.

Almost surely, 2^648121464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648121464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045629000).

648121464 is an abundant number, since it is smaller than the sum of its proper divisors (1443136536).

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

648121464 is a wasteful number, since it uses less digits than its factorization.

648121464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 648121464 is about 25458.2297892057. The cubic root of 648121464 is about 865.4038071404.

The spelling of 648121464 in words is "six hundred forty-eight million, one hundred twenty-one thousand, four hundred sixty-four".