6456120048 has 180 divisors, whose sum is σ = 22124748360. Its totient is φ = 1747484928.

The previous prime is 6456120037. The next prime is 6456120059. The reversal of 6456120048 is 8400216546.

6456120048 is a `hidden beast` number, since 645 + 6 + 1 + 2 + 0 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6456120037) and next prime (6456120059).

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

It is a junction number, because it is equal to n+sod(n) for n = 6456119994 and 6456120021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109986 + ... + 158142.

Almost surely, 2^6456120048 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 6456120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062374180).

6456120048 is an abundant number, since it is smaller than the sum of its proper divisors (15668628312).

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

6456120048 is a wasteful number, since it uses less digits than its factorization.

6456120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48204 (or 48188 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6456120048 is about 80349.9847417534. The cubic root of 6456120048 is about 1862.0465437703.

The spelling of 6456120048 in words is "six billion, four hundred fifty-six million, one hundred twenty thousand, forty-eight".