48119371272 has 576 divisors, whose sum is σ = 166934851200. Its totient is φ = 12697896960.

The previous prime is 48119371259. The next prime is 48119371297. The reversal of 48119371272 is 27217391184.

48119371272 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 9 + 371 + 272 = 666.

It is a super-2 number, since 2×48119371272² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 425835088 + ... + 425835200.

It is an arithmetic number, because the mean of its divisors is an integer number (289817450).

Almost surely, 2^48119371272 is an apocalyptic number.

48119371272 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 48119371272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83467425600).

48119371272 is an abundant number, since it is smaller than the sum of its proper divisors (118815479928).

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

48119371272 is a wasteful number, since it uses less digits than its factorization.

48119371272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 48119371272 in words is "forty-eight billion, one hundred nineteen million, three hundred seventy-one thousand, two hundred seventy-two".