48142114020 has 1536 divisors, whose sum is σ = 221095526400. Its totient is φ = 8410521600.

The previous prime is 48142114019. The next prime is 48142114043. The reversal of 48142114020 is 2041124184.

48142114020 is a `hidden beast` number, since 4 + 81 + 421 + 140 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1552971405 + ... + 1552971435.

It is an arithmetic number, because the mean of its divisors is an integer number (143942400).

Almost surely, 2^48142114020 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 48142114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110547763200).

48142114020 is an abundant number, since it is smaller than the sum of its proper divisors (172953412380).

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

48142114020 is a wasteful number, since it uses less digits than its factorization.

48142114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 48142114020 in words is "forty-eight billion, one hundred forty-two million, one hundred fourteen thousand, twenty".