649364010048 has 504 divisors, whose sum is σ = 2158498578600. Its totient is φ = 185896009728.

The previous prime is 649364010023. The next prime is 649364010077. The reversal of 649364010048 is 840010463946.

It can be written as a sum of positive squares in 12 ways, for example, as 491558036544 + 157805973504 = 701112^2 + 397248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 649364009985 and 649364010012.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147279268 + ... + 147283676.

It is an arithmetic number, because the mean of its divisors is an integer number (4282735275).

Almost surely, 2^649364010048 is an apocalyptic number.

649364010048 is a gapful number since it is divisible by the number (68) 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 649364010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079249289300).

649364010048 is an abundant number, since it is smaller than the sum of its proper divisors (1509134568552).

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

649364010048 is a wasteful number, since it uses less digits than its factorization.

649364010048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 649364010048 in words is "six hundred forty-nine billion, three hundred sixty-four million, ten thousand, forty-eight".