49508769024 has 432 divisors, whose sum is σ = 172991568960. Its totient is φ = 13845012480.

The previous prime is 49508768957. The next prime is 49508769059. The reversal of 49508769024 is 42096780594.

49508769024 is a `hidden beast` number, since 49 + 508 + 7 + 6 + 90 + 2 + 4 = 666.

49508769024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×49508769024² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12847482 + ... + 12851334.

Almost surely, 2^49508769024 is an apocalyptic number.

49508769024 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 49508769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86495784480).

49508769024 is an abundant number, since it is smaller than the sum of its proper divisors (123482799936).

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

49508769024 is a wasteful number, since it uses less digits than its factorization.

49508769024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 49508769024 in words is "forty-nine billion, five hundred eight million, seven hundred sixty-nine thousand, twenty-four".