48307237600752 has 360 divisors, whose sum is σ = 152534492667648. Its totient is φ = 14793278572800.

The previous prime is 48307237600733. The next prime is 48307237600757. The reversal of 48307237600752 is 25700673270384.

48307237600752 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 7 + 23 + 7 + 600 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48307237600757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138467977 + ... + 138816407.

Almost surely, 2^{48307237600752} 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 48307237600752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76267246333824).

48307237600752 is an abundant number, since it is smaller than the sum of its proper divisors (104227255066896).

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

48307237600752 is a wasteful number, since it uses less digits than its factorization.

48307237600752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348691 (or 348660 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 48307237600752 in words is "forty-eight trillion, three hundred seven billion, two hundred thirty-seven million, six hundred thousand, seven hundred fifty-two".