48426369264 has 640 divisors, whose sum is σ = 179188531200. Its totient is φ = 12179082240.

The previous prime is 48426369259. The next prime is 48426369283. The reversal of 48426369264 is 46296362484.

48426369264 is a `hidden beast` number, since 48 + 426 + 36 + 92 + 64 = 666.

48426369264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48426369264² (a number of 22 digits) contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 48426369264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96274837 + ... + 96275339.

It is an arithmetic number, because the mean of its divisors is an integer number (279982080).

Almost surely, 2^48426369264 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 48426369264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89594265600).

48426369264 is an abundant number, since it is smaller than the sum of its proper divisors (130762161936).

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

48426369264 is a wasteful number, since it uses less digits than its factorization.

48426369264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 48426369264 in words is "forty-eight billion, four hundred twenty-six million, three hundred sixty-nine thousand, two hundred sixty-four".