49413794976 has 576 divisors, whose sum is σ = 177843714048. Its totient is φ = 12669364224.

The previous prime is 49413794971. The next prime is 49413794977. The reversal of 49413794976 is 67949731494.

49413794976 is a `hidden beast` number, since 4 + 9 + 4 + 137 + 9 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (49413794971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187885021 + ... + 187885283.

It is an arithmetic number, because the mean of its divisors is an integer number (308756448).

Almost surely, 2^49413794976 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 49413794976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88921857024).

49413794976 is an abundant number, since it is smaller than the sum of its proper divisors (128429919072).

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

49413794976 is a wasteful number, since it uses less digits than its factorization.

49413794976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 49413794976 in words is "forty-nine billion, four hundred thirteen million, seven hundred ninety-four thousand, nine hundred seventy-six".