648079149312 has 540 divisors, whose sum is σ = 2261127865360. Its totient is φ = 185122796544.

The previous prime is 648079149251. The next prime is 648079149329. The reversal of 648079149312 is 213941970846.

648079149312 is a `hidden beast` number, since 6 + 4 + 80 + 79 + 1 + 493 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149359239 + ... + 149363577.

Almost surely, 2^648079149312 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 648079149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130563932680).

648079149312 is an abundant number, since it is smaller than the sum of its proper divisors (1613048716048).

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

648079149312 is an frugal number, since it uses more digits than its factorization.

648079149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 648079149312 in words is "six hundred forty-eight billion, seventy-nine million, one hundred forty-nine thousand, three hundred twelve".