48623531040 has 288 divisors, whose sum is σ = 197968095360. Its totient is φ = 11113901568.

The previous prime is 48623531039. The next prime is 48623531059. The reversal of 48623531040 is 4013532684.

48623531040 is a `hidden beast` number, since 4 + 86 + 2 + 3 + 531 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48623530986 and 48623531004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96829 + ... + 326531.

It is an arithmetic number, because the mean of its divisors is an integer number (687389220).

Almost surely, 2^48623531040 is an apocalyptic number.

48623531040 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 48623531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98984047680).

48623531040 is an abundant number, since it is smaller than the sum of its proper divisors (149344564320).

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

48623531040 is a wasteful number, since it uses less digits than its factorization.

48623531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229741 (or 229720 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 48623531040 in words is "forty-eight billion, six hundred twenty-three million, five hundred thirty-one thousand, forty".