48634914240 has 588 divisors, whose sum is σ = 190969510872. Its totient is φ = 11783439360.

The previous prime is 48634914227. The next prime is 48634914257. The reversal of 48634914240 is 4241943684.

48634914240 is a `hidden beast` number, since 4 + 8 + 634 + 9 + 1 + 4 + 2 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28226019 + ... + 28227741.

Almost surely, 2^48634914240 is an apocalyptic number.

48634914240 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 48634914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95484755436).

48634914240 is an abundant number, since it is smaller than the sum of its proper divisors (142334596632).

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

48634914240 is a wasteful number, since it uses less digits than its factorization.

48634914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48634914240 in words is "forty-eight billion, six hundred thirty-four million, nine hundred fourteen thousand, two hundred forty".