48157949952 has 378 divisors, whose sum is σ = 165104503928. Its totient is φ = 13759414272.

The previous prime is 48157949899. The next prime is 48157949963. The reversal of 48157949952 is 25994975184.

48157949952 is a `hidden beast` number, since 4 + 8 + 1 + 579 + 4 + 9 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (378).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (32659200) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 48157949952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6879707133 + ... + 6879707139.

Almost surely, 2^48157949952 is an apocalyptic number.

48157949952 is a gapful number since it is divisible by the number (42) 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 48157949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82552251964).

48157949952 is an abundant number, since it is smaller than the sum of its proper divisors (116946553976).

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

48157949952 is an frugal number, since it uses more digits than its factorization.

48157949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 12 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

Multiplying 48157949952 by its sum of digits (63), we get a square (3033950846976 = 1741824²).

48157949952 divided by its sum of digits (63) gives a square (764411904 = 27648²).

The spelling of 48157949952 in words is "forty-eight billion, one hundred fifty-seven million, nine hundred forty-nine thousand, nine hundred fifty-two".