48429837210744 has 384 divisors, whose sum is σ = 149651688775680. Its totient is φ = 14550849331200.

The previous prime is 48429837210731. The next prime is 48429837210779. The reversal of 48429837210744 is 44701273892484.

48429837210744 is a `hidden beast` number, since 48 + 429 + 83 + 7 + 21 + 0 + 74 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5086628704 + ... + 5086638224.

It is an arithmetic number, because the mean of its divisors is an integer number (389717939520).

Almost surely, 2^{48429837210744} is an apocalyptic number.

48429837210744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48429837210744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74825844387840).

48429837210744 is an abundant number, since it is smaller than the sum of its proper divisors (101221851564936).

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

48429837210744 is a wasteful number, since it uses less digits than its factorization.

48429837210744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11553 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 48429837210744 in words is "forty-eight trillion, four hundred twenty-nine billion, eight hundred thirty-seven million, two hundred ten thousand, seven hundred forty-four".