49989963456 has 224 divisors, whose sum is σ = 154943738880. Its totient is φ = 15773294592.

The previous prime is 49989963449. The next prime is 49989963461. The reversal of 49989963456 is 65436998994.

49989963456 is a `hidden beast` number, since 4 + 9 + 9 + 89 + 96 + 3 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3848685 + ... + 3861651.

It is an arithmetic number, because the mean of its divisors is an integer number (691713120).

Almost surely, 2^49989963456 is an apocalyptic number.

49989963456 is a gapful number since it is divisible by the number (46) 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 49989963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77471869440).

49989963456 is an abundant number, since it is smaller than the sum of its proper divisors (104953775424).

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

49989963456 is a wasteful number, since it uses less digits than its factorization.

49989963456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13092 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 49989963456 in words is "forty-nine billion, nine hundred eighty-nine million, nine hundred sixty-three thousand, four hundred fifty-six".