48253296672 has 480 divisors, whose sum is σ = 174158595072. Its totient is φ = 12791955456.

The previous prime is 48253296671. The next prime is 48253296673. The reversal of 48253296672 is 27669235284.

48253296672 is a `hidden beast` number, since 48 + 2 + 532 + 9 + 6 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (48253296671) and next prime (48253296673).

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

It is not an unprimeable number, because it can be changed into a prime (48253296671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22515633 + ... + 22517775.

Almost surely, 2^48253296672 is an apocalyptic number.

48253296672 is a gapful number since it is divisible by the number (42) 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 48253296672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87079297536).

48253296672 is an abundant number, since it is smaller than the sum of its proper divisors (125905298400).

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

48253296672 is a wasteful number, since it uses less digits than its factorization.

48253296672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2245 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 48253296672 in words is "forty-eight billion, two hundred fifty-three million, two hundred ninety-six thousand, six hundred seventy-two".