48645625140 has 768 divisors, whose sum is σ = 194181120000. Its totient is φ = 10059033600.

The previous prime is 48645625129. The next prime is 48645625157. The reversal of 48645625140 is 4152654684.

It is a happy number.

48645625140 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 5 + 625 + 14 + 0 = 666.

It is a super-2 number, since 2×48645625140² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 80940840 + ... + 80941440.

It is an arithmetic number, because the mean of its divisors is an integer number (252840000).

Almost surely, 2^48645625140 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 48645625140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97090560000).

48645625140 is an abundant number, since it is smaller than the sum of its proper divisors (145535494860).

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

48645625140 is a wasteful number, since it uses less digits than its factorization.

48645625140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 48645625140 in words is "forty-eight billion, six hundred forty-five million, six hundred twenty-five thousand, one hundred forty".