648114339840 has 352 divisors, whose sum is σ = 2263715660736. Its totient is φ = 157034741760.

The previous prime is 648114339839. The next prime is 648114339863. The reversal of 648114339840 is 48933411846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×648114339840² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346029144 + ... + 346031016.

Almost surely, 2^648114339840 is an apocalyptic number.

648114339840 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 648114339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131857830368).

648114339840 is an abundant number, since it is smaller than the sum of its proper divisors (1615601320896).

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

648114339840 is an frugal number, since it uses more digits than its factorization.

648114339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 648114339840 in words is "six hundred forty-eight billion, one hundred fourteen million, three hundred thirty-nine thousand, eight hundred forty".