48652186314160 has 640 divisors, whose sum is σ = 138446598850560. Its totient is φ = 15656597913600.

The previous prime is 48652186314079. The next prime is 48652186314187. The reversal of 48652186314160 is 6141368125684.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37338592069 + ... + 37338593371.

It is an arithmetic number, because the mean of its divisors is an integer number (216322810704).

Almost surely, 2^{48652186314160} is an apocalyptic number.

48652186314160 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 48652186314160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69223299425280).

48652186314160 is an abundant number, since it is smaller than the sum of its proper divisors (89794412536400).

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

48652186314160 is a wasteful number, since it uses less digits than its factorization.

48652186314160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 48652186314160 in words is "forty-eight trillion, six hundred fifty-two billion, one hundred eighty-six million, three hundred fourteen thousand, one hundred sixty".