48463157952 has 672 divisors, whose sum is σ = 166953346560. Its totient is φ = 13795246080.

The previous prime is 48463157909. The next prime is 48463157969. The reversal of 48463157952 is 25975136484.

It is a happy number.

48463157952 is a `hidden beast` number, since 4 + 8 + 4 + 63 + 1 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 428877448 + ... + 428877560.

It is an arithmetic number, because the mean of its divisors is an integer number (248442480).

Almost surely, 2^48463157952 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 48463157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83476673280).

48463157952 is an abundant number, since it is smaller than the sum of its proper divisors (118490188608).

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

48463157952 is a wasteful number, since it uses less digits than its factorization.

48463157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 48463157952 in words is "forty-eight billion, four hundred sixty-three million, one hundred fifty-seven thousand, nine hundred fifty-two".