48077431974 has 144 divisors (see below), whose sum is σ = 125377677360. Its totient is φ = 13194005760.

The previous prime is 48077431973. The next prime is 48077431981. The reversal of 48077431974 is 47913477084.

48077431974 is a `hidden beast` number, since 480 + 7 + 74 + 3 + 1 + 97 + 4 = 666.

It is a super-3 number, since 3×48077431974³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48077431974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48077431973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1759932 + ... + 1787040.

It is an arithmetic number, because the mean of its divisors is an integer number (870678315).

Almost surely, 2^48077431974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48077431974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62688838680).

48077431974 is an abundant number, since it is smaller than the sum of its proper divisors (77300245386).

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

48077431974 is a wasteful number, since it uses less digits than its factorization.

48077431974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27207 (or 27191 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 48077431974 in words is "forty-eight billion, seventy-seven million, four hundred thirty-one thousand, nine hundred seventy-four".