48129762379752 has 192 divisors, whose sum is σ = 141647131392000. Its totient is φ = 14707662480000.

The previous prime is 48129762379711. The next prime is 48129762379871. The reversal of 48129762379752 is 25797326792184.

48129762379752 is a `hidden beast` number, since 4 + 8 + 129 + 7 + 62 + 379 + 75 + 2 = 666.

It is a super-3 number, since 3×48129762379752³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018574127 + ... + 1018621377.

It is an arithmetic number, because the mean of its divisors is an integer number (737745476000).

Almost surely, 2^{48129762379752} 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 48129762379752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70823565696000).

48129762379752 is an abundant number, since it is smaller than the sum of its proper divisors (93517369012248).

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

48129762379752 is a wasteful number, since it uses less digits than its factorization.

48129762379752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71332 (or 71325 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 48129762379752 in words is "forty-eight trillion, one hundred twenty-nine billion, seven hundred sixty-two million, three hundred seventy-nine thousand, seven hundred fifty-two".