48429521901072 has 200 divisors, whose sum is σ = 150964461647384. Its totient is φ = 14900094498816.

The previous prime is 48429521901071. The next prime is 48429521901151. The reversal of 48429521901072 is 27010912592484.

48429521901072 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 9 + 521 + 9 + 0 + 107 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170324591616 + 48259197309456 = 412704^2 + 6946884^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48429521901071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203286858 + ... + 203524950.

Almost surely, 2^{48429521901072} 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 48429521901072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482230823692).

48429521901072 is an abundant number, since it is smaller than the sum of its proper divisors (102534939746312).

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

48429521901072 is a wasteful number, since it uses less digits than its factorization.

48429521901072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250199 (or 250184 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 48429521901072 in words is "forty-eight trillion, four hundred twenty-nine billion, five hundred twenty-one million, nine hundred one thousand, seventy-two".