48646863360 has 400 divisors, whose sum is σ = 174979648800. Its totient is φ = 12917366784.

The previous prime is 48646863337. The next prime is 48646863371. The reversal of 48646863360 is 6336864684.

48646863360 is a `hidden beast` number, since 486 + 46 + 8 + 63 + 3 + 60 = 666.

It is a super-3 number, since 3×48646863360³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48646863297 and 48646863306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78589131 + ... + 78589749.

It is an arithmetic number, because the mean of its divisors is an integer number (437449122).

Almost surely, 2^48646863360 is an apocalyptic number.

48646863360 is a gapful number since it is divisible by the number (40) 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 48646863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87489824400).

48646863360 is an abundant number, since it is smaller than the sum of its proper divisors (126332785440).

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

48646863360 is an equidigital number, since it uses as much as digits as its factorization.

48646863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 48646863360 in words is "forty-eight billion, six hundred forty-six million, eight hundred sixty-three thousand, three hundred sixty".