48152744640 has 672 divisors, whose sum is σ = 222391443456. Its totient is φ = 9235537920.

The previous prime is 48152744623. The next prime is 48152744663. The reversal of 48152744640 is 4644725184.

48152744640 is a `hidden beast` number, since 4 + 81 + 527 + 4 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2874529 + ... + 2891231.

It is an arithmetic number, because the mean of its divisors is an integer number (330939648).

Almost surely, 2^48152744640 is an apocalyptic number.

48152744640 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 48152744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111195721728).

48152744640 is an abundant number, since it is smaller than the sum of its proper divisors (174238698816).

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

48152744640 is a wasteful number, since it uses less digits than its factorization.

48152744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16757 (or 16744 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 48152744640 in words is "forty-eight billion, one hundred fifty-two million, seven hundred forty-four thousand, six hundred forty".